Question 872574: A man orders 3 times as many as ball point pins as boxes as felt tip pens. ball point pens cost 4.31 per box, and felt tip pens cost 3.43. if the mans order totaled 98.16, how many boxes of each type of pen did he buy?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A man orders 3 times as many as ball point pins as boxes as felt tip pens.
Quantity Equation:: b = 3f
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ball point pens cost 4.31 per box, and felt tip pens cost 3.43. if the mans order totaled 98.16,
Value Equation:: 4.31b + 3.43f = 98.16
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how many boxes of each type of pen did he buy?
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Substitute for "b" and solve for "f"::
4.31(3f) + 3.43f = 98.16
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Multiply thru by 100 to get:
431(3f) + 343f = 9816
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1293f + 343f = 9816
1636f = 9816
f = 6 (# of boxes of felt point pens)
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Solve for "b"::
b = 3f
b = 18 (# of boxes of ball point pens)
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Cheers,
Stan H.
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