Question

Carl collects coins compulsively, but he only likes quarters ($0.25) and dimes ($0.10). Carl currently has 125 coins for a total of $26.00. How many of each coin does Carl have?

Answer 1

90 Quarters

35 dimes

Explanation:

Coins collected by Carl:

Quarters = $0.25

Dimes = $0.10

Total number of coins with Carl = 125

Total worth of coins = $26.00

Let number of quarters = q ; and dimes = d

0.25q + 0.10d = 26 - - - (1)

q + d = 125 - - - (2)

q = 125 - d

Substitute into (2)

0.25(125 - d) + 0.10d = 26

31.25 - 0.25d + 0.10d = 26

31.25 - 0.15d = 26

31.25 - 26 = 0.15d

5.25 = 0.15d

d = 5.25 / 0.15

d = 35

q = 125 - d

q = 125 - 35

q =. 90

90 Quarters

35 dimes