Chris has a collection of dimes and quarters worth $4.25. If she has 22 coins total, how many quarters does she have?

Given:

Chris has a collection of dimes and quarters worth $4.25.

To number of coins = 22

To find:

The number of quarters.

Solution:

Let x be the number of dimes and y be the number of quarters.

Total coins :          ...(i)

we know that, 1 dime = $0.10 and 1 quarter = $0.25.

Total value :      ...(ii)

Multiply equation (i) by 0.10 and subtract the result form (ii).

Divide both sides by 0.15.

Number of quarter cannot be a decimal value.

Therefore, the number of quarter is about 17.