Question

The kiwanis club sold citrus fruit to raise money for their scholarship fund. a box of oranges costs $21 and a box of grapefruit costs $27. they sold 747 boxes of citrus for a total of $18,003. how many boxes of grapefruit did they sell?

Answer 1

the kiwanis club sold 346 grape fruit

Answer 2

346 boxes of grape fruit

Step-by-step explanation:

In order to solve this we are going to create a simple system of equations, the number of boxes of oranges will be represented with the letter Y and the number of boxes of grape fruit will be represented with the letter X:

21y + 27x= 18,003

x+y=747

x=747-y

Now we insert that into the first equation:

21y-27(747-y)=18,003

-6y=18,033- 20169

-6y=-2166

y=-2166/-6

y=361

We know that the kiwanis club sold 361 boxes of oranges, now we inster that value into our second equation to solve for the boxes of grapefruit:

x=747-y

x=747-361

x=386

SO they sold 386 boxes of grapefruit.