Question

A collection of dimes and quarters has a total value of five dollars and contains 29 coins. How much of each kind of coin are there in the collection?

A. 15 dimes and 14 quarters
B. 14 dimes and 15 quarters
C. 10 dimes and 19 quarters
D. 19 dimes and 10 quarters

Answer 1

A quarter and a dime are equal to 25 cents and 10 cents, respectively. Let x and be the number of quarter and dime coins. The equations that best expressed the condition are,
x + y = 29
0.25x + 0.10y = 5

The values of x and y are equal to x = 14 and y = 15. Thus, the answer is letter A. 15 dimes and 14 quarters.