50 coins is worth $5.20. There areally 12 more nickels and dimes, and the rest Andre quarters. How many coins of each type are there?

X + y + z = 50

x + y = 38

x = 38 - y

z = 12

0.05x + 0.10y + 0.25 (12) = 5.20

0.05x + 0.10y + 3.00 = 5.20

0.05x + 0.10y = 2.20

0.05 (38 - y) + 0.10y = 2.20

1.90 - 0.05y + 0.10y = 2.20

0.05y = 0.30

y = 6

0.05x + 0.10 (6) = 2.20

0.05x = 1.60

x = 32

32 nickles

6 dimes

12 quarters