Question

Power Standard 7: Real world problems

A local organic farmer sold 8 boxes of peaches and 6 boxes
of tomatoes to one customer for $82. A second customer
purchased 6 boxes of peaches and 7 boxes of tomatoes. She
spent $79. How much did a box of peaches and a box of
tomatoes cost? Write and solve a system of equations. Show
your steps. ​

Answer 1

The cost of one box of peaches is $5 and the cost of one box of tomatoes is $7

Explanation:

Let

x ----> the cost of one box of peaches

y ---> the cost of one box of tomatoes

we know that

`8x+6y=82` -----> equation A

`6x+7y=79` -----> equation B

Solve the system of equations by graphing

The solution of the system of equations is the intersection point both graphs

The solution is the point (5,7)

see the attached figure

therefore

The cost of one box of peaches is $5 and the cost of one box of tomatoes is $7