SOLUTION: 2 oz.of soybean oil were mixed with 4 oz. of canola oil which costs $4/oz.to make vegetable oil which costs $3/oz.what is the price per oz. of soybean oil?

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: 2 oz.of soybean oil were mixed with 4 oz. of canola oil which costs $4/oz.to make vegetable oil which costs $3/oz.what is the price per oz. of soybean oil?      Log On

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Question 1203429: 2 oz.of soybean oil were mixed with 4 oz. of canola oil which costs $4/oz.to make vegetable oil which costs $3/oz.what is the price per oz. of soybean oil?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Make accountings of the costs.

x, the price of soybean oil per ounce


2%2Ax%2B4%2A4=3%282%2B4%29
Solving is uncomplicated.


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2%28x%2B8%29=3%2A2%281%2B2%29
x%2B8=3%2A3
x=9-8
highlight%28x=1%29---------- 1 dollar per ounce

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


A formal algebraic solution is good exercise, but solving the problem informally using logical reasoning is also good problem-solving practice.

The mixture is 2+4 = 6 ounces worth $3 per ounce, so the total value is 6($3) = $18.

The 4 ounces of canola oil worth $4 per ounce have a total value of 4($4) = $16.

So the 2 ounces of soybean oil must be worth $18-$16 = $2.

That makes the price per ounce of the soybean oil $2/2 = $1.

ANSWER: $1