Answer:
21 quarters and 11 dimes = 32 coins
Step-by-step explanation:
x + y = 32
0.25x + 0.10y = 6.35 [take the first equation and make it equal to x]
x = 32 - y [now take this equation and plug it in the above]
0.25 (32-y) + 0.10y = 6.35
8 - 0.25y + 0.10y = 6.35
8 - 0.15y = 6.35 [subtract 8 from both sides]
-0.15y = -1.65 [divide by -0.15 to isolate y]
y = 11 so there are 11 dimes
plug it into the first equation: x + 11 = 32; x = 21 so there are 21 quarters
