How many gallons of a 60% antifreeze solution must be mixed with 70 gallons of 25% antifreeze to get a mixture that is 50% a

Question

4 years ago

9

ntifreeze? Use the six-step method.

1 answer:

Neporo4naja [7] · Answer 1 · 2021-12-12T00:57:03+03:00

Answer:

The answer to your question is 175 gallons

Explanation:

Data

60% antifreeze solution volume = ? = x

25% antifreeze solution volume = 25%

Final concentration 50%

Process

0.6x + 0.25(70) = 0.5(70 + x)

Simplification

0.6x + 17.5 = 35 + 0.5x

0.6x - 0.5x = 35 - 17.5

0.1x = 17.5

x = 17.5/0.1

Result

x = 175 gallons

How many gallons of a 60​% antifreeze solution must be mixed with 70 gallons of 25​% antifreeze to get a mixture that is 50​% ​a