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. :)
Let X equal the number of quarters X * 25 is the value of the quarters ((X+8) * 5) is the value of the nickels25X + 5X + 40 = 610 so 30X + 40 = 610 .subtract 40 from both sides , divide both sides by 30X = 19There are 19 quarters and 27 nickels in the piggy bank
117 nickles
8X5=40 and 5X1=5 so $0.45
C(8+1, 1)= c(9, 1) = [9!/1!(9-1)!] = [9!/1! 8!] = [9/1!] = 9.
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 ■
Let X equal the number of quarters X * 25 is the value of the quarters ((X+8) * 5) is the value of the nickels25X + 5X + 40 = 610 so 30X + 40 = 610 .subtract 40 from both sides , divide both sides by 30X = 19There are 19 quarters and 27 nickels in the piggy bank
117 nickles
He has 165 cents.
There is an extremely large amount of possibilities of money combinations that could be within a piggy bank. We must first note that some piggy banks differ in size, but the real problem is with the change itself. The piggy bank could be filled with all pennies, all quarters, 10 dimes and the rest quarters, and so on. The possibilities are limitless.
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.
7
8X5=40 and 5X1=5 so $0.45
7
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).
Piggy's Aunt owns and works in a candy shop
usally a piggy bank is good. if the parents have the piggy aka and the children give the parents the money it will be better
You could have: 8 nickels and 1 penny or 6 nickels and 11 pennies or 4 nickels and 21 pennies or 2 nickels and 31 pennies. The option of 0 nickels and 41 pennies is excluded by the necessity that the amount is made up of dimes, nickels and pennies; 0 nickels would mean the $1.21 was made up of dimes and pennies only.