Question 277839: Bob has twice as many hot dogs as Phil, while Phil has 5 less than 3 times as many hot dogs as Fred. Fred has two more than Nancy. They have 71 hot dogs altogether. If a hot dog costs $1.50, how much did each person spend?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Bob has twice as many hot dogs as Phil, while Phil has 5 less than 3 times as many hot dogs as Fred. Fred has two more than Nancy. They have 71 hot dogs altogether. If a hot dog costs $1.50, how much did each person spend?
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Equations:
b + p + f + n = 71
b - 2p+ 0 + 0 = 0
0 + p -3f + 0 = -5
0 + 0 + f - n = + 2
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I used the matrix function on a TI calculator to get:
Bob has 38 dogs ; cost $57
Phil has 19 dogs ; cost = $28.50
Fred has 8 dogs ; $12
Nancy has 6 dogs; $9
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Cheers,
Stan H.
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