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?
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: \(\frac{13.5}{90-x}=\frac{25}{100}\).