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
------------
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
6o+4l=11.16
Double the first formula and subtract.
6o+10l=20.52
6o+ 4l=11.16
------------
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