SOLUTION: A shopper buys three oranges and five lemons for $10.26, while a second shopper buys four lemons and six oranges for $11.16. What is the price of each fruit?

Question 142642: A shopper buys three oranges and five lemons for $10.26, while a second shopper buys four lemons and six oranges for $11.16. What is the price of each fruit?
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
30+5L=10.26 MULTIPLY THIS EQUATION BY -2 & ADD.
6O+4L=11.16
-60-10L=-20.52
------------------------
-6L=-9.36
L=-9.36/-6
L=1.56 IS THE PRICE OF EACH LEMON.
3O+5*1.56=10.26
3O+7.80=10.26
3O=10.26-7.80
3O=2.46
O=2.46/3
O=.82 COST OF EACH ORANGE.
PROOF
6*.82+4*1.56=11.16
4.92+6.24=11.16
11.16=11.16
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