SOLUTION: Joe bought 3 bananas and 2 apples for $2.90. Bob bought 2 bananas plus 5 apples for $3.75. How much does it cost for 5 bananas plus 2 apples.

Question 972602: Joe bought 3 bananas and 2 apples for $2.90. Bob bought 2 bananas plus 5 apples for $3.75. How much does it cost for 5 bananas plus 2 apples.
Answer by CubeyThePenguin(3113) (Show Source): You can put this solution on YOUR website!
a = price of apple
b = price of banana

3b + 2a = 2.90
2b + 5a = 3.75

Multiply the first equation by 5 and the second equation by 2.

15b + 10a = 14.50
-(4b + 10a = 7.50)
--------------------
11b = 7
b = 7/11 ---> a = 109/220

5b + 2a = 459/110 = $4.17
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