Givens
Let the nickels = n
Let the pennies = p
Solution
p + n = 56
Change the value of the pennies and nickels and the total into pennies.
1 * p = p
5 * n = 5n
1.52 = 1.52 dollars * 100 p / dollar = 152 pennies.
p + 5n = 152
Write the two equations one underneath the other.
p + 5n = 152
p + n = 56 Subtract
4*n = 96 Divide by 4
n = 96 / 4
n = 24
p = 56 - 24
p = 32
Check
p + 5n = ? 152
32 + 5*24 =? 152
32 + 120 =? 152
152 = 152 and it does check.
Answer
32 pennies
24 nickels.