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

The correct awnser is 29.76 pounds.