A shopper buys three oranges and five lemons for $10.26, while a second shopper buys four lemons and six orang

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?

3o+5l=10.26
6o+4l=11.16

Double the first formula and subtract.

6o+10l=20.52
6o+ 4l=11.16
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6l= 9.36

Divide by 6, l=1.56

Plug l into one of the formulas

3o+5(1.56)=10.26
3o+7.8=10.26

Subtract and divide.

3o=2.46
o=.82