Question

Matt and Ming are selling fruit for a school fundraiser. Customers can buy boxes of oranges and boxes of apples. Matt sold 3 boxes of oranges and 14 boxes of apples for a total of $203 Ming sold 11 boxes of oranges and 11 boxes of apples for a total of $220. What is the price for each type of fruit

Answer 1

The Answer is that one box of Oranges costs $7.13 and one box of Apples costs $12.99.

Explanation:

Let o = oranges and a = apples

Equation 1:

3o + 14a = 203

Solve for o:

3o = 203 - 14a

o = 203/3 - 14/3a

o = 67.66 - 4.66a

Equation 2:

11o + 11a = 220

Substitute:

11(67.66 - 4.66a) + 11a = 220

744.26 - 51.26a + 11a = 220

-40.26a = 220 - 744.26

-40.36a = -524.26

a = -524.26/-40.36 = $12.99 for a box of Apples

Solve for oranges, o:

o = 67.66 - 4.66a

o = 67.66 - 4.66(12.99)

o = 67.66 - 60.53 = $7.13 for a box of Oranges

Hope this helps!! Have an Awesome day!!! :-)