SOLUTION: Sam buys 4 times as many soccer balls as footballs, and 2 less than 3 times as many baseballs as footballs. If he buys 46 items altogether, how many of each does he get?

SOLUTION: Sam buys 4 times as many soccer balls as footballs, and 2 less than 3 times as many baseballs as footballs. If he buys 46 items altogether, how many of each does he get?

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Question 108897: Sam buys 4 times as many soccer balls as footballs, and 2 less than 3 times as many baseballs as footballs. If he buys 46 items altogether, how many of each does he get?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
S = 4F
B = 3F - 2
S + F + B = 46
4F + F + B = 46
4F + F + 3F - 2 = 46
8F = 48
F = 6
S = 4F
S = 24
B = 3F - 2
B = 16 - 2
B = 16
6 footballs, 24 soccer balls, 16 baseballs
They add up to 46 OK
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