SOLUTION: Five pencils and three erasers cost 65 cents. Three pencils and two erasers cost 40 cents. Find the cost of one pencil and one eraser.

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Question 137348: Five pencils and three erasers cost 65 cents. Three pencils and two erasers cost 40 cents. Find the cost of one pencil and one eraser.
Answer by checkley77(12569) About Me  (Show Source):
You can put this solution on YOUR website!
5P+3E=65 MULTIPLY THIS EQUATION BY -3
3P+2E=40 MULTIPLY THIS EQUATION BY 5 & ADD THEM.
-15P-9E=-195
15P+10E=200
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E=5 COST OF ONE ERASER.
5P+3*5=65
5P+15=65
5P=65-15
5P=50
P=10 COST OF ONE PENCIL.
PROOF
3*10+2*5=40
30+10=40
40=40