SOLUTION: You purchase 5 pounds of apples and 2 pounds of oranges for $7. Your friend purchases 5 pounds of apples and 6 pounds of oranges for $17. A.) Write a system of linear equations to

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: You purchase 5 pounds of apples and 2 pounds of oranges for $7. Your friend purchases 5 pounds of apples and 6 pounds of oranges for $17. A.) Write a system of linear equations to      Log On


   

Question 1053793: You purchase 5 pounds of apples and 2 pounds of oranges for $7. Your friend purchases 5 pounds of apples and 6 pounds of oranges for $17. A.) Write a system of linear equations to represent this situation. B.) What is the price per pound for apples? C.) What is the price per pound for oranges?
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Assign variables to the quantities asked. Account for cost of each purchase.

x price of apples
y price of oranges

system%285x%2B2y=7%2C5x%2B6y=17%29

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So you really have in the description for the "You" purchase, "5 pounds apples and 2 pounds oranges for $9". Follow the whole description and transcribe into the equations and you will have:
system%285x%2B2y=9%2C5x%2B6y=17%29
which does not really change the nature or form of the problem.