Question

kevin had 13 coins in his pocket. all of his coins are either dimes or quarters. when he emptied his pocket, kevin found that he had 2.05. how many dimes and quarters does he have?

Answer 1

5 quarters and 8 dimes = $2.05

Answer 2

Kevin has 5 quarters and 8 dimes.

Explanation:

First of all, a quarter is worth 0.25 dollars, while a dime is worth 0.10 dollars. As Kevin has 13 coins in his pocket which in sum make $2.05, and all of them are either dimes or quarters, in order to determine how many dimes and quarters does he have, we have to take into account that he's got an odd number of quarters, since the final amount of money sums $2.05, that is, it ends in 5.

Therefore, if he had 1 quarter and 12 dimes (0.25 + 12x0.10 = 1.45), he would have $1.45.

If he had 3 quarters and 10 dimes (0.25x3 + 10x0.10 = 1.75), he would have $1.75.

If he had 5 quarters ahd 8 dimes (0.25x5 + 8x0.10 = 2.05), he would have $2.05, so this is the correct option.