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

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) (Show Source): You can put this solution on YOUR website!
Perfume A
=========
Amount=x ounces
Worth=$4.10
Perfume B
=========
Amount=40-x ounces
Worth=$2.5
Blended Perfume
=========
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
RELATED QUESTIONS
How much of a perfume that sells for $15 per ounce should be mixed with a perfume that... (answered by rothauserc)

"Perfume to sell for $80 an ounce is to be blend of perfume selling for $104 an ounce and (answered by josgarithmetic)

How much of a perfume that sells for $35 dollar per ounce should be mixed with perfume... (answered by josgarithmetic)

Please help me solve this word problem, using substitution or elimination: How much of (answered by josmiceli)

A bottle of perfume contains 10 1/2 ounces and sells for .98 cents. What is the cost per... (answered by robertb)

Perfume can be purchased in 0.6 ounce bottle for $18 or in a 2 ounce bottle for $50. The... (answered by josgarithmetic)

An herbalist has 40 oz of herbs costing $3 per ounce. How many ounces of herbs costing $2 (answered by stanbon)

A goldsmith combined an alloy that costs $4.20 per ounce with an alloy that costs $1.80... (answered by josgarithmetic)

A goldsmith combined an alloy that costs $4.30 per ounce with an alloy that costs $1.80... (answered by VFBundy)