SOLUTION: bill bought 4 tennis balls and 3 golf balls for a total of $10.25. Brett went into the same store and bought 2 tennis balls and 5 golf balls for a total of $11.25. What was the pri

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: bill bought 4 tennis balls and 3 golf balls for a total of $10.25. Brett went into the same store and bought 2 tennis balls and 5 golf balls for a total of $11.25. What was the pri      Log On

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Question 374745: bill bought 4 tennis balls and 3 golf balls for a total of $10.25. Brett went into the same store and bought 2 tennis balls and 5 golf balls for a total of $11.25. What was the price for a tennis ball and what was the price for a golf ball?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let T be the cost of a tennis ball, G the cost of a golf ball.
4T%2B3G=1025
2T%2B5G=1125
Multiply eq. 2 by (-2) and add to eq. 1,
4T%2B3G-4T-10G=1025-2250
-7G=-1225
highlight%28G=175%29
.
.
.
Then use either equation to solve for T.
4T%2B3%28175%29=1025
4T=1025-525
4T=500
highlight%28T=125%29
.
.
Tennis balls are $1.25 and golf balls are $1.75 each.