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strojnjashka [21]
4 years ago
13

How much of a 60% acid solution must be mixed with 50 gallons of a 24% acid solution to obtain a solution that is 50% acid?

Mathematics
2 answers:
icang [17]4 years ago
4 0
X gallons of a 60% acid solution contains 60%×x=0.6x gallons of acid.
50 gallons of a 24% acid solution contains 24%×50=0.24×50=12 gallons of acid.

After mixing, there will be x+50 gallons of a solution, and 0.6x+12 gallons of acid. The concentration must be 50%, so the volume of acid divided by the volume of the solution is 50%, or 0.5.

\frac{0.6x+12}{x+50}=0.5 \\
0.6x+12=0.5(x+50) \\
0.6x+12=0.5x+25 \\
0.6x-0.5x=25-12 \\
0.1x=13 \\
0.1x \times 10=13 \times 10 \\
x=130

The answer is A. 130 gallons.
Alex787 [66]4 years ago
3 0

Answer:

a. 130

Step-by-step explanation:

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