Answer:
13 dimes and 19 quarters
Step-by-step explanation:
Assumed that there are x number dimes and y number of quarters.
Given that there are 6 more quarters than dimes:
y = x + 6
Given that the total value is 6.05:
0.1x + 0.25y = 6.05
Substitute y = x + 6 into 0.1x + 0.25y = 6.05:
0.1x + 0.25(x + 6) = 6.05
0.1x + 0.25x + 1.5 = 6.05
0.35x = 4.55
x = 13
Substitute x = 13 into y = x + 6:
y = 13 + 6 = 19
13 dimes and 19 quarters
