Grant plans to evaporate enough water from 22 gallons of a 16 percent ammonia solution to make a 24 percent ammonia solution. Which equation can he use to find n , the number of gallons of water he should remove?
Answer
A
the fraction with numerator 3 point 5 2 and denominator 22 minus n is equal to 24 over 100
B
3 point 5 2 times open paren 22 minus n close paren is equal to 0 point 2 4
C
the fraction with numerator 22 minus n and denominator 3 point 5 2 is equal to 24 over 100
D
3 point 5 2 plus open paren 22 minus n close paren is equal to 0 point 2 4
Explanation
The amount of ammonia stays the same when water evaporates: 0.16 × 22 = 3.52 gallons. After removing n gallons of water, the solution contains 22 − n gallons total, so its ammonia concentration is 3.52 ÷ (22 − n). Setting that equal to 24/100 gives the equation in choice A.
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