7. +-13 points WaneFMAC7 4.3.012 My Notes Ask Your Teacher The Fancy French Perf

Question

7. +-13 points WaneFMAC7 4.3.012 My Notes Ask Your Teacher The Fancy French Perfume Company recently had its secret formula divulged. It turned out that it was using, as the three ingredients, rose oi, oil of fermented prunes, and alcohol. Moreover, each 16-ounce econo-size bottle contained 3 more ounces of alcohol than oil of fermented prunes, while the amount of alcohol was equal to the combined volume of the other two ingredients. How much of each ingredient did the company use in an econo-size bottle? rose oil oil of fermented prunes alcohol Oz oz

Explanation / Answer

Let the amount of oil of fragmented prunes =X

then amount alcohol = X+3  

And amound of rose oil = 16-(X+X+3) = 13-2X

From the question: X+3 = (13-2X) + X

OR, X+3 = 13-X

OR, 2X = 10

OR , X=5

So, amount of oil of fragmented prunes = 5 oz

amount of alcohol = 5+3 = 8 oz

amount of rose oil = 13-2*5 = 3 oz.

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