Answer:
90 Quarters
35 dimes
Step-by-step 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
