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A jar contains nickels and pennies. There are 56 coins in the jar in all. The total value of the coins is $1.52. How many pennies are in the jar?

 A jar contains nickels and pennies. There are 56 coins in the jar in all. The total value of the coins is $1.52. How many pennies are in the jar?
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1 Answer

let x = the number of nickels
 
the number of pennies can be represented by (56 - x)
 
.05x + .01(56 - x) = 1.52
 
5x + (56 - x) = 152    if in the above line we multiply both sides of the equation by 100
 
4x + 56 = 152
 
4x = 96
 
x = 24
 
There are 24 nickels and 56 - 24 = 32 pennies
 
24 nickels are worth 24 * 5 = $1.20 and 32 pennies are obviously worth 32 cents, so the total is 1.20 + 0.32 = $1.52