SOLUTION: A perfumer wishes to blend perfume valued at $4.10 an ounce with perfume worth $2.50 per ounce to obtain a mixture of 40 ounces worth $3.00 an ounce. How much of the $4.10 perfume

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Question 634527: A perfumer wishes to blend perfume valued at $4.10 an ounce with perfume worth $2.50 per ounce to obtain a mixture of 40 ounces worth $3.00 an ounce. How much of the $4.10 perfume should he use?
Answer by Maths68(1474) About Me  (Show Source):
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Perfume A
=========
Amount=x ounces
Worth=$4.10
Perfume B
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Amount=40-x ounces
Worth=$2.5
Blended Perfume
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Amount=40 ounces
Worth=$3.00
(Worth Perfume A)(Amount Perfume A)+(Worth Perfume B)(Amount Perfume B)
=(Worth of Blended Perfume)(Amount of Blended Perfume)
(4.10)(x)+(2.5)(40-x)=(40)(3.00)
4.10x+100-2.5x=120
4.10x-2.5x=120-100
1.6x=20
1.6x/1.6=20/1.6
x=12.5

Perfume A
=========
Amount=x=12.5 ounces
Worth=$4.10