Ten cups of a restaurant's house Italian dressing is made by blending olive oil costing $1.50 per cup with vinegar that costs $.25 per cup. How many cups of each are used if the cost of the blend is $.50 per cup?

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Answer 1 · 2016-11-13T11:42:33

The blend contains #2# cups of olive oil and #8# cups of vinegar.

Let the blend contains #x# cups of olive oil.

Then the blend contains #(10-x)# cups of vinegar.

By given condition #x*1.5+(10-x)*0.25 = 10*0.5 or x(1.5-0.25) = 5- (10*0.25) or 1.25x= 2.5 or x= 2.5/1.25=2 ; 10-x=10-2=8#

Therefore the blend contains #2# cups of olive oil and #8# cups of vinegar. [Ans]