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# How many quarts of pure alcohol must you add to 15 quarts of a solutio

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Re: How many quarts of pure alcohol must you add to 15 quarts of a solutio [#permalink]
How many quarts of pure alcohol must you add to 15 quarts of a solution that is 40% alcohol to strengthen it to a solution that is 50% alcohol?

(A) 4.0
(B) 3.5
(C) 3.25
(D) 3.0
(E) 2.5

for the given 15 quarts the pure alcohol is 40% ; i.e 6 parts
so rest of 9 parts is in which the addition is to be done
9+x/15+x = 50/100
solve for x = 3
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How many quarts of pure alcohol must you add to 15 quarts of a solutio [#permalink]
How many quarts of pure alcohol must you add to 15 quarts of a solution that is 40% alcohol to strengthen it to a solution that is 50% alcohol?

(A) 4.0
(B) 3.5
(C) 3.25
(D) 3.0
(E) 2.5

Asked: How many quarts of pure alcohol must you add to 15 quarts of a solution that is 40% alcohol to strengthen it to a solution that is 50% alcohol?

In 15 quarts of the solution: -
Alcohol = 6 quarts

To make a 50% alcohol solution
(6+x)/(15+x) = 50%
(6 + x) / 9 = 1
6 + x = 9
x = 3 quarts

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Re: How many quarts of pure alcohol must you add to 15 quarts of a solutio [#permalink]
How many quarts of pure alcohol must you add to 15 quarts of a solution that is 40% alcohol to strengthen it to a solution that is 50% alcohol?

(A) 4.0
(B) 3.5
(C) 3.25
(D) 3.0
(E) 2.5

$$\frac{6+X}{15+X}$$ = $$\frac{1}{2}$$
Pure alcohol to be added and this will also increase the total quantity of the mixture. X means alcohol quantity to be added.
Re: How many quarts of pure alcohol must you add to 15 quarts of a solutio [#permalink]
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