x = number of nickels

x + 8 = number of pennies

49 - (2x + 8) = number of quarters ← 49 total coins in drawer

0.05x + 0.01(x + 8) + 0.25(41 - 2x) = 2.41 ← value of coin times number of coins equals total value

0.05x + 0.01x + 0.08 + 10.25 - 0.5x = 2.41 ← distributive property

-0.44x + 10.33 = 2.41 ← combined

-0.44x = -7.92 ← subtracted 10.33

x = 18 ← divided by -0.44

x + 8 = 26 ← substituted

49 - (2x + 8) = 5 ← substituted

18 nickels

26 pennies

5 quarters

- Proof

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