The total value of the dimes and quarters in a bank is 6.05 dollars there are six more quarters than dimes find the number of each type of coin in the bank

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