SOLUTION: How do I translate this into equations so I can solve it? Thanks! A shopper buys three oranges and five lemons for $10.26, while a second shopper buys four lemons and six orange

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: How do I translate this into equations so I can solve it? Thanks! A shopper buys three oranges and five lemons for $10.26, while a second shopper buys four lemons and six orange      Log On


   

Question 137164: How do I translate this into equations so I can solve it? Thanks!
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 snovember85(4) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = price of an orange, y = price of a lemon
(1) 3x + 5y = 10.26, divide 3 on both sides to get x = 10.26/3 - (5/3)y
(2) 6x + 4y = 11.16, divide 6 on both sides to get x = 11.16/6 - (4/6)y
Now you can set equations (1) and (2) equal,
10.26/3 - (5/3)y = 11.16/6 - (4/6)y
then solve this equation for y.
Once you got y, plug it back in either equation (1) or (2) to get x.