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Question 334986: Translate the problem into a pair of linear equations in two variables. Solve the equations using elmination or substitution. State yor answer for the specified variables.
don runs a charity fruit sale, selling boxes of oranges for $11 an boxes of grapefruit for $10. If he sold a total of 762 boxes and took in $8125 in all, then how many boxes of oranges did he sell?
could someone please help me out
Thank you so much.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Solve the equations using elmination or substitution.
State yor answer for the specified variables.
don runs a charity fruit sale, selling boxes of oranges for $11 and boxes of grapefruit for $10. If he sold a total of 762 boxes and took in $8125 in all, then how many boxes of oranges did he sell?
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Equations:
Boxes: O + G = 762
Value:11O + 10G = 8125
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Multiply thru the Boxes equation by 11:
11O + 11G = 11*762
11O + 10G = 8125
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Subtract the 2nd from the 1st and solve for "G":
G = 257 (# of boxes of grapefruit)
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Since O+G = 762, O = 762-257 = 505 (# of boxes of oranges)
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Cheers,
Stan H.
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