Question

Grant plans to evaporate enough water from 22 gallons of a 16% ammonia solution to make a 24% ammonia solution. Which equation can be use to find n, the number of gallons of water he should remove?

Answer 1

The equation that can be used to find n, the number of gallons of water he should remove is $3.52=24\% \text { of } (22-n)$.

Step-by-step explanation:

We are given that grant plans to evaporate enough water from 22 gallons of a 16% ammonia solution to make a 24% ammonia solution.

Let 'n' be the number of gallons of water he should remove.

Firstly, we will find the number of gallons of ammonia present in the solution, i.e;

22 gallons of the solution has 16% of ammonia solution = 16% of 22

                        =  $\frac{16}{100}\times 22$  =  3.52 gallons of ammonia.

Now, we have to remove the water to make a 24% ammonia solution which means that as we have to remove the water from the solution, the amount of ammonia solution will also be the same in our new solution of (22-n) gallons.

So, according to the question;

$3.52 = 24\% \text{ of } (22-n)$      

$3.52 = \frac{24}{100} \times (22-n)$

$352 =24 \times (22-n)$

$352 =528-24n$

$24n = 528 - 352$

$24n=176$

$n=\frac{176}{24}$

n = 7.33 gallons of water.