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math word problem
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Supergirl
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math word problem
There are 49 pennies, nickels, and quarters in a drawer. If their combined value is $2.41, and the number of
pennies exceeds the number of nickels by 8, how many of each type are there?
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Re: math word problem
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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