Carlon plans to evaporate a number of gallons of water from 90 gallons of a 15% salt solution to make a 25% salt solution. which equation can he use to find x, the number of gallons that should be evaporated?

Verified Answer :

The answer to this is A

Answer:

The equation can be used to find x, the number of gallons that should be evaporated is: \(\frac{13.5}{90-x}=\frac{25}{100}\).

Step-by-step explanation:

Consider the provided information.

Let us consider x is the amount of water Carlon plans to evaporate.

Thus, 90 - x is the amount of water after being evaporated.

The amount of salt is 15% of 90 gallons which can be written as:

\(S=90\times{0.15}\)

\(S=13.5\)

The percentage of salt will be:

\(\%S=\frac{13.5}{90-x}=\frac{25}{100}\)

Hence, the equation can be used to find x, the number of gallons that should be evaporated is: \(\frac{13.5}{90-x}=\frac{25}{100}\).