A jar contains 56 quarters and pennies. The total value of the coins is $3.92. Which system of equations can be used to find p, the number of pennies, and q, the number of quarters?

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

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