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You piggy bank has all nickels and quarters. You count up the coins and find out that there are 64 coins and you have a total of 7.40. How many of each type of coin do you have?
The idea is to write two equations, one for the number of coins, one for the amount of money. Then solve the equations.Assuming "n" is the number of nickels, and "q" the number of quarters, the equations for the coins, of course, is quite simply: n + q = 64 And the equation for the money (I'll use cents; you can just as well use dollars if you prefer): 5n + 25q = 740 You can solve the first equation for "n", then replace that in the second equation.
The coins in a cash register total 12.50 and there are only nickels dimes and quarters. There are twice as many dimes as nickels and there are twice as many quarters as dimes. How many many dimes are?
You need to define variables for the different types of coins, write the corresponding equations, then solve them. One equation for each fact. Here are the equations:5N + 10D + 25Q = 1250 D = 2N Q = 2D
James has 33 coins in his pocket all of them nickels and quarters If he has a total of 2.65 how many quarters does he have?
This problem can be solved by solving the system of equation. Total worth of coins: $2.65 Total number of coins: 33 n= number of nickels q= number of quarters since we know that there are 33 coins total, we can set the equation like this: number of nickels + number of quarters = total number of coins => n+q=33 We also know that the worth of these coins is $2.65. each nickel is worth of $0.05 each quarter is worth of $0.25 therefore we can set the equation: 0.05 x number of nickels + 0.25 x number of quarters = total worth of coins. 0.05n+0.25q=2.65 However, for convienience, we should multiply the equation above by 100 to get rid of decimals. Thus it is 5n+25q=265 you will now have a following set of 2 equations: n+q=33 5n+25q=265 Use the SUBSTITUTION METHOD to solve either n or q for solving n: (replace q with n if you're willing to solve q instead) n+q=33 => n=33-q (since n is equal to 33-q, we can -q -q substitue n in the other equation.) 5(33-q)+25q=265 => 165-5q+25q=265 => 20q=100 => q=5 -165 -165 /20 /20 There are 5 quareters as a result.(or 28 nickels) since you know that q=5 you can substitute q in the first equation. n+(5)=33 => n=28 - 5 -5 therefore, there are 5 quarters and 28 nickels. ELIMINATION METHOD: n x -5 + q x -5 = 33 x -5 => -5n-5q=-165 5n+25q=265 + 5n+25q=265 ------------- 20q=100 => q=5 /20 /20 Or simply we can say: if we have x quarters, we have .25x value of them. So the value of nickels will be 2.65 - .25x. Since we have 33 coins, and x quarters, then the number of nickels will be 33 - x. So the value of all nickels would be also .05(33 - x). Thus, we have:2.65 - .25x = .05(33 - x)2.65 - .25x = 1.65 - .05x2.65 - 1.65 - .25x + .25x = 1.65 - 1.65 - .05x + .25x1 = .20x1/.20 = .20x/.20x = 5 the number of quarters 33 - x= 33 - 5= 28 the number of nickels. Thus, we have 5 quarters and 28 nickels.
A collection of 30 coins worth 5.50 consists of nickels dimes and quarters there are twice as many dimes as nickeles how many quarters are there?
Let the number of nickels, dimes and quarters be n, d, q respectively. Then n +d + q = 30 5n + 10d + 25q = 550 But d = 2n, so: n + 2n + q = 30 => 3n + q = 30 5n + 10(2n) + 25q = 550 => 25n + 25q = 550 => n + q = 22 Which gives two simultaneous equations to solve, resulting in: n = 4, q = 18 So there are 18 quarters (plus 4 nickels and 8 dimes).
How do you solve by substitution y equals x-1?
George saves nickels and dimes for tolls. If he has 8 coins worth $2.60,how many are nickels and how many are dimes? Answer this question by using system of equation.
A cash register contains 12.50 and there are only nickels dimes and quarters There are twice as many dimes as nickels and twice as many quarters as dimes How many quarters are in the cash register?
Nickles - 10 $0.50dimes - 20 $2.00quarters - 40 $10.000.50+2.00+10.00 = $12.50 containing 40 quarters---Here's how to solve this with Algebra :Let N be the number of nickels, so that2N is the number of dimes, and2(2N) or 4N is the number of quarters.A nickel is 5 cents, a dime is 10 cents, and a quarter is 25 cents,and the total in the cash register is $12.50Multiplying by their cents values, we have5(N) plus 10(2N) plus 25 (4N) = 12505N + 20N + 100N = 1250125 N = 1250N= 10So the number of nickels is 10, dimes 20, and quarters 40.
How MANY dollars is 40000 nickels?
To solve this, consider that there are 20 nickels in 1 dollar. So, if you divide 40,000 by 20, you can solve for the answer.40,000 / 20 = $2,000
10 coins consistinig of nickels and dimes equal 80 cents how many coins does she have?
You could (a) use trial and error; (b) write two equations; or (c) call the number of nickels "n", and the number of dimes "10-n" (since there are 10 coins in total). I will use the latter approach.Number of nickels: nNumber of dimes: 10-nFor the main equation, multiply the number of coins by the value of each coin:value of nickels + value of dimes = 805n + 10(10-n) = 80Now solve the equation:5n + 100 - 10n = 80-5n = -205n = 20n = 4So, you have 4 nickels, and 6 dimes.You could (a) use trial and error; (b) write two equations; or (c) call the number of nickels "n", and the number of dimes "10-n" (since there are 10 coins in total). I will use the latter approach.Number of nickels: nNumber of dimes: 10-nFor the main equation, multiply the number of coins by the value of each coin:value of nickels + value of dimes = 805n + 10(10-n) = 80Now solve the equation:5n + 100 - 10n = 80-5n = -205n = 20n = 4So, you have 4 nickels, and 6 dimes.You could (a) use trial and error; (b) write two equations; or (c) call the number of nickels "n", and the number of dimes "10-n" (since there are 10 coins in total). I will use the latter approach.Number of nickels: nNumber of dimes: 10-nFor the main equation, multiply the number of coins by the value of each coin:value of nickels + value of dimes = 805n + 10(10-n) = 80Now solve the equation:5n + 100 - 10n = 80-5n = -205n = 20n = 4So, you have 4 nickels, and 6 dimes.You could (a) use trial and error; (b) write two equations; or (c) call the number of nickels "n", and the number of dimes "10-n" (since there are 10 coins in total). I will use the latter approach.Number of nickels: nNumber of dimes: 10-nFor the main equation, multiply the number of coins by the value of each coin:value of nickels + value of dimes = 805n + 10(10-n) = 80Now solve the equation:5n + 100 - 10n = 80-5n = -205n = 20n = 4So, you have 4 nickels, and 6 dimes.
The coins in the store's cash register total 4.00 The cash register contains only nickels dimes and quarters There is an equal number of each coin How many dimes are in the cash register?
There are 10 of each coin in the cash register. 10 quarters (2.50) plus 10 dimes (1.00) plus 10 nickels (.50) = 4.00 The formula to solve this problem is: (X x .25) + (X x .10) + (X x .05) = 4.00 X (.25+.10+.05) = 4.00 X = 4.00/.4 = 10Woah that is really hard math
Bob has 60 coins consisting of quarters and dimes The coins combined value is 9.45 How many are quarters and how many are dimes?
there are 23 quarters 37 dimes to do this use simultaneous equations to make this simpler i will assign variables to amount of quarters and dimes x-quarters y-dimes you know you have 60 coins, so amount of quarters plus dimes is 60 x+y=60 you also know the amount is equal to $9.45 since quarters are $0.25 and dimes are $0.10 another equation can be made 0.25x+0.10y=9.45 this equation shows what you do when you count your change now solve the first equation for a variable using algebra x=60-y you can then plug this new value into your second equation 0.25(60-y)+0.1y=9.45 you can now solve for y, which is the number of dimes y=37 now plug this number back into x=60-y to get the amount of quarters x=60-(37) x=23 23 quarters 37 dimes
Rihanna has 5.25 in dimes and nickels for a total of 63 coins How many dimes does she have?
One equation will represent the number of coins, x + y = 63. The second equation will represent the value of the coins, 0.10x + 0.05y = 5.25. Solve the first equation for y (=63-x) and plug into the second equation. So, 0.1x + 0.05(63-x) = 5.25 Solve this and get x=42. your welcome mizz litta bay be aka anhellita richards
How do you operate the living quarters on poptropica's steamworks?
Get the right attachment named the " Living Quarters Key" and solve it with the steam battery.
The coins in a cash register total 12.50 and there are only nickels dimes and quarters. There are twice as many dimes as nickels and there are twice as many quarters as dimes. How many of each coin?
There are 10 nickels, 20 dimes and 40 quarters in the cash register. The 10 nickels is 10 x 5 cents or 50 cents. The 20 dimes is 20 x 10 cents or 200 cents. The 40 quarters is 40 x 25 cents or 1000 cents. Converting and adding these, we get $0.50 + $2.00 + $10.00 = $12.50, which is the sum given in the question. Let's work through it. The number of nickels is N, the number of dimes is D and the number of quarters is Q. These are our variables in this problem. We don't know how many of them there are, and their numbers could vary. That's why we call them variables. We might also call them unknowns, too. A nickel is 5 cents, so the value of the nickels is the number of nickels, which is N, times the value of the nickel, which is 5 cents. That's 5N here. A dime is 10 cents, so the value of the dimes is the number of dimes, which is D, times the value of the dime, which is 10 cents. That's 10D here. A quarter is 25 cents, so the value of the quarters is the number of quarters, which is Q, times the value of the quarter, which is 25 cents. That's 25Q here. The sum of the values of the coins was given as $12.50, or 1250 cents, because we are working with coins, whose values are measured in cents. Further, we can write this expression as 5N + 10D + 25Q = 1250 on our way to the answer. Of the last two facts, the first was that there were twice as many dimes as nickels. We could write that as D = 2N because said another way, there are twice the number of dimes as nickels. We might also say that for every nickel, there are 2 dimes, so doubling the number of nickels will give us the number of dimes. The last fact is that there were twice as many quarters as dimes. We could write that as Q = 2D because said another way, thre are twice the number of quarters as dimes. We might also say that for every dime, there are 2 quarters, so doubling the number of dimes will give us the number of quarters. The last two bits of data we have allow us to solve the problem, because the do something special for us. Each bit of data expresses one variable in terms of another. That means we can make substitutions in our expressions for the sum of the values of the coins. Let's put up or original expression, and then do some substitutions. 5N + 10D + 25Q = 1250 This is the original expression. We know that D = 2N, so lets put the 2N in where we see D and expand things a bit. 5N + 10(2N) + 25Q = 1250 5N + 20N + 25Q = 1250 We changed the "look" of the expression, but we didn't change its value. Let's go on. We know that Q = 2D, so lets put that in. 5N + 20N + 25Q = 1250 5N + 20N + 25(2D) = 1250 5N + 20N + 50D = 1250 We're almost there. Remember that D = 2N, and we can substitute that in here. 5N + 20N + 50D = 1250 5N + 20N + 50(2N) = 1250 5N + 20N + 100N = 1250 Groovy! We have substituted variables and now have an expression with only one variable in it! Let's proceed. 5N + 20N + 100N = 1250 125N = 1250 We're close! N = 1250/125 = 10 N = 10 The number of nickels is 10, and because the nickel is 5 cents, the value of these coins is their number times their value, or 10 x 5 cents = 50 cents = $0.50 We were told the number of dimes was twice the number of nickels. This means that since there are 10 nickels, there will 2 x 10 or 20 dimes. And 20 x 10 cents = 200 cents = $2.00 We were also told the number of quarters was twice the number of dimes. This means that since there are 20 dimes, there will be 2 x 20 or 40 quarters. And 40 x 25 cents = 1,000 cents = $10.00 If we add the values of the coins, we should get the $12.50 that we were told was in the register. $0.50 + $2.00 + $10.00 = $12.50 We're in business. The value of each denomination of coins adds up to the given value of all the coins in the register. Piece of cake.
How much 20 cent coins fit in 1 square meter?
There are no 20cent coins. And you can't solve that question with the information given. You need the dimensions of the coins
How do you solve the misson missing coins on club peinguin?
you go to the HQ
James has 35 coins in his pocket all of them dimes and quarters If he has a total of 5.75 how many quarters does he have?
15 quarters & 20 dimesLet x be the # of dimes & y be the # of quarters. Then set up two equations & solve using substitution method.(1) x + y = 35 total number of coins(2) 0.10x + 0.25y = 5.75 total number of moneyRearrange first equation in terms of y & substitute into second equation & solve:y = 35 - x0.10x + 0.25(35-x) = 5.750.10x + 8.75 - 0.25x = 5.75-0.15x = 5.75-8.75-0.15x = -3x = -3/-0.15 = 20Now substitute value for x into 1st equation to find # of quarters (y):20 + y = 35y = 35 - 20 = 15Checking the answer:20*$0.10 + 15*$0.25$2.00 + $3.75 = $5.75
How do you solve the the case of the missing coins mission on club penguin?
The disc for the computer is under the sofa and the coins are stuck to the celing of the volt.
How do you make 2.65 out of dimes and nickels only using thirty-one coins?
This is a simple algebra question:d + n = 31.1d + .05n = 2.65Subsituting in for "d" using "n" we have:d = 31 - n3.1 - .1n + .05n = 2.65-0.05n = -0.45Solve for n:n = 9d + 9 = 31d = 22Thus, there are 9 nickels and 22 dimes.
How many nickels and dimes make 6.90 with 86 coins?
You only need to solve for the number of either nickels or dimes. You can subtract that number from 86 to find the other. Since dimes are worth more, let's solve for dimes; we'll use the variable "d". First, make a chart of what we know:# dimes = "d"; 0.10 each; total cents in dimes = 10d# nickels = 86 - d, 0.05 each; total cents in nickels = 5(86-d)Total number/value of coins: total number is 86; total value $6.90, or 690 centsNow set up the equation:10d + 5(86-d) = 69010d + (5 . 86) + (5 . - d) = 69010d + 430 - 5d = 6905d + 430 = 6905d + 430 - 430 = 690 - 4305d = 260(1/5)5d = 260 (1/5)d = 52If there are 52 dimes, there must be 34 nickels (86 - 52 = 34).Let's check our work:52 dimes = $5.2034 nickels = $1.70$5.20 + 1.70 = $6.90
How do you solve the missing coins mission in club penguin?
See the related link.
How do you solve how many onces are in 7 and 3 quarters?
It depends on what the unit is for the 7.75 (7 3/4).
How do you solve the puzzle on the case of the missing coins?
Go on the CP cheats website to find out...
What problem did paper money solve in china?
Its easier to carry around then heavy coins
A student makes a 9.25 purchase at the bookstore with a 20 bill the store has no bills and gives the change in quarters and fifty-cent prices there are 30 coins in all how many of each kind are there?
the answer is found by using a system of equations. the first says that you need two types of coins that add up to 30. x+y=30 the second is an equation denoting that the values of coins x and y must add up to 10.75 (the change) 0.25x+0.5y=10.75 we solve this system: x+ y=30 .25x+.5y=10.75 Answer 13 half dollars and 17 quarters Note! There may be more answers!!
What methods do police use to solve crimes?
They use different equipment to solve there crimes. Or the a town watch group.
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