Grant plans to evaporate enough water from 22 gallons of a 16% ammonia solution to make a 24% ammonia solution. Which equation can he use to find n, the number of gallons of water he should remove?
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Answer:
C.
Step-by-step explanation:
First, we calculate the amount if ammonia in 22 gallons of 16% ammonia solution.
16% * 22 gal = 3.52 gal
The amount of ammonia remains the same after the water evaporates, but the total amount of solution is reduced by the amount of water that evaporates.
amount of ammonia: 3.52 gal
amount of water that remains: 22 - n
desired concentration, 24% = 24/100
Equation:
(3.52)/(22 - n) = 24/100
Answer: C.
The equation used to find the number of gallons of water he should remove is (3.52)/(22 - n) = 24/100. The correct answer is option C.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
First, we calculate the amount of ammonia in 22 gallons of 16% ammonia solution.
16% x 22 gal = 3.52 gal
The amount of ammonia remains the same after the water evaporates, but the total amount of solution is reduced by the amount of water that evaporates.
Amount of ammonia: 3.52 gal
Amount of water that remains: 22 - n
Desired concentration, 24% = 24/100
The equation will be written as given below:-
Equation = (3.52)/(22 - n) = 24/100
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