In a pile of coins there are 7 more quarters than nickels. If there is a total of$2.65 in coins, how many quarters are there?

A quarter is equivalent to 25 cents or $0.25 and a nickel is equal to 5 cents or $0.05. In the given in this item, if there are x nickels then, there are x + 7 quarters. With these and the total amount known, we can now compute for the value of x.

(x) (0.05) + (x + 7) (0.25) = 2.65

Simplifying,

0.05x + 0.25x + 1.75 = 2.65

Simplifying further,

0.3x = 0.9

The value of x from the equation is 3. Hence, there are 10 quarters.