Erin has quarters and nickels for a total of 16 coins. The value of his coins is $2.60. Let represent the number of quarters and y represent the number of nickels

Note: Consider we need to find each type of coins he has.

Given:

Erin has quarters and nickels for a total of 16 coins.

The value of his coins is $2.60.

To find:

The number of each type of coins.

Solution:

Let x represent the number of quarters and y represent the number of nickels.

According to the question,

Total coins :        ...(i)

Total value :        ...(ii)

Multiply equation (i) by 0.25 and subtract the result from (ii).

Divide both sides by -0.20.

Put y=7 in (i).

Therefore, the number of quarters is 9 and number of nickels is 7.