Question

Leon has a handful of of dimes and quarters valuing $3.40. He has 6 more dimes than he does quarters. How many of each coins does he have?

Answer 1

Answer: 14 dimes and 8 quarters

Step-by-step explanation:

dimes ($0.10): x + 6

quarters ($0.25): x

Cost*quantity of dimes + Cost*quantity of quarters = Total value

0.10(x + 6) + x(0.25) = 3.40

0.10x + 0.60 + 0.25x = 3.40

0.35x + 0.60 = 3.40

           -0.60   -0.60

0.35x             = 2.80

÷0.35              ÷0.35

      x              = 8

dimes: x + 6   = 8 + 6   = 14