Question

The Fancy French Perfume Company recently had its secret formula divulged.It turned out that it was using rose oil,oil of fermented prunes, and alcohol. Each 22 once economize bottle contained 4 or more ounces of alcohol then oil of fermented prunes while the alcohol was equal to the combined volume of the other two ingredients. How much of each ingredients did it use in an econo-size bottle?

Answer 1

Let;
R = Rose oil
P = Oil of fermented prunes
A = Alcohol

From the information given;
A = P + 4
A = P + R
A+P+R = 22 ounce

Solving the equations;
A = P+4
A = P+R = P+4 => R = 4
And;
P+4+P+4 = 22
2P+8 = 22
2P=22-8
2P = 14
P= 14/2= 7

And therefore,
A = P+4 = 7+4 = 11

Therefore, for Eco-size bottle the ingredients are:
Rose oil = 4 ounces
Oil of fermented prunes = 7 ounces
Alcohol = 11 ounces