Devin has a change jar that contain only half dollars and pennies. He has 93 coins which add up to a total of $23.96. How many of each type of coin does he have?

Let h = half dollars (50¢ or. 5)

let p = pennies (1¢ or. 01)

0.5h + 0.01p = 23.96

h + p = 93

multiply top equation by (-100) to make coefficients of p opposite

-50h - p = - 2396

h + p = 93

combine

-49h = - 2303

simplify

h = 46

find p

46 + p = 93

subtract & simplify

p = 47

Devin has 47 pennies and 46 half dollars.

47 Half Coins

46 Pennies