Let X equal the number of quarters X * 25 is the value of the quarters ((X+8) * 5) is the value of the nickels
25X + 5X + 40 = 610 so 30X + 40 = 610 .
subtract 40 from both sides , divide both sides by 30
X = 19
There are 19 quarters and 27 nickels in the piggy bank
117 nickles
C(8+1, 1)= c(9, 1) = [9!/1!(9-1)!] = [9!/1! 8!] = [9/1!] = 9.
Is this a trick question? Well, assuming that Joe breaks open his piggy bank, and Joe doesn't cut his finger on the little pieces and have to buy bandages, then he would have 95 cents to spend at the candy store. :)
8X5=40 and 5X1=5 so $0.45
2 variables with 2 equations. A simultaneous equation problem. d+ n = 14 10d + 5n = 95 Multiply the first equation by -5 -5d + -5n = -70 10d + 5n = 95 add together 5d = 25 d = 5 ◄ plug that in the first equation to find n 5 + n = 14 n = 9 ◄ check 5 dimes plus 9 nickles is 50c+45c=95c ■
117 nickles
7
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.
He has 165 cents.
117 Alternative method: If all the coins were dimes he would have $41.90; He is $5.85 short of that figure Every 5c short represents 1 nickel replacing a dime 585/5 = 117 nickels (and 302 dimes).
C(8+1, 1)= c(9, 1) = [9!/1!(9-1)!] = [9!/1! 8!] = [9/1!] = 9.
7
shake the piggy bank until all the coins get out.
725 coins
If n is the number of nickels and d the number of dimes, then the equations are:n + d = 160 (total number of coins) 5n + 10d = 1050 (total value). And I have thought through to the answer.
yes
Is this a trick question? Well, assuming that Joe breaks open his piggy bank, and Joe doesn't cut his finger on the little pieces and have to buy bandages, then he would have 95 cents to spend at the candy store. :)