Problema Solution
A school is selling fruit as a fundraiser. A box of oranges cost $10 and a box of grapefruit costs $13. Josh sells 21 boxes of fruit and collects $231. Write a system of equations to model this information and then solve it. How many boxes of oranges did he sell?
Answer provided by our tutors
Let
x = the number of boxes of oranges
y = the number of boxes of grapefruits
The total of boxes sold is 21 means:
x + y = 21
The total money collected was $231 means:
10x + 13y = 231
We have the following system of equations:
x + y = 21
10x + 13y = 231
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click here to see the system of equations solved for x and y
........
x = 14 boxes of oranges
y = 7 boxes of grapefruits
The school sold 14 boxes of oranges.