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: 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