SOLUTION: The football team bought several roses and several carnations for the cheer squad. The roses cost $1.50 each and the carnations cost $.80 each. They bought a total of 17 flowers an

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: The football team bought several roses and several carnations for the cheer squad. The roses cost $1.50 each and the carnations cost $.80 each. They bought a total of 17 flowers an      Log On

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Question 927768: The football team bought several roses and several carnations for the cheer squad. The roses cost $1.50 each and the carnations cost $.80 each. They bought a total of 17 flowers and paid $19.20. How many of each type of flower did the football team buy?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The football team bought several roses and several carnations for the cheer squad. The roses cost $1.50 each and the carnations cost $.80 each. They bought a total of 17 flowers and paid $19.20. How many of each type of flower did the football team buy?
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Equations:
r + c = 17 flowers
1.50r + 0.80c = 19.20
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Modify for elimination::
15r + 15c = 15*17
15r + 8c = 192
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Subtract and solve for "c"::
7c = 63
c = 9 (# of carnations bought)
r = 17-9 = 8 (# of roses bought)
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Cheers,
Stan H.
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