April has 23 coins in her pocket, all of which are dimes and quarters.

Question

April has 23 coins in her pocket, all of which are dimes and quarters. If the total value of her change is $4.55, how many dimes and how many quarters does she have?

Number of dimes that April has = 

Number of quarters that April has =

Answer 1

d + q = 23

0.10d + 0.25q = 4.55

where d is dimes and q is quarters.

0.10( 23 - q) + 0.25q = 4.55

solve for q to find d

Answer 2

d represents the number of dimes

23 - d represents the number of quarters

0.10d + 0.25(23 - d) = 4.55

CAn you solve for d and answer?