SOLUTION: Don runs a charity fruit sale selling boxers of oranges for $11 and boxes of grapefruit for $10. If he sells a total of 762 boxes and his total income is $8125, how many boxes of o

Question 1010385: Don runs a charity fruit sale selling boxers of oranges for $11 and boxes of grapefruit for $10. If he sells a total of 762 boxes and his total income is $8125, how many boxes of oranges did he sell?
I did this so far-
x= oranges, y= grapefruit
x+y=762
11x+10y=8125
Would I then use the elimination or substitution process?

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Yes, you would use either of those methods. The choice is yours to make unless the problem description or instructions given to you specify one of the methods in particular. I would choose substitution, simply to avoid multiplying the 762. Again as I say, the choice is yours unless you were told which method to use.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

Don runs a charity fruit sale selling boxers of oranges for $11 and boxes of grapefruit for $10. If he sells a total of 762 boxes and his total income is $8125, how many boxes of oranges did he sell?
I did this so far-
x= oranges, y= grapefruit
x+y=762
11x+10y=8125
Would I then use the elimination or substitution process?

I would use ELIMINATION by changing equation 1 by multiplying it by - 10, and then adding this new equation to equation 2.
This should ELIMINATE y and give you the value of x. You should be able to proceed from here
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