How many gallons of a 60 % antifreeze solution must be mixed with 70 gallons of 25 % antifreeze to get a mixture that is 50 % antifreeze? Use the six-step method.

Question

Chemistry

Tanner Kane

22 January, 08:31

How many gallons of a 60 % antifreeze solution must be mixed with 70 gallons of 25 % antifreeze to get a mixture that is 50 % antifreeze? Use the six-step method.

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Answers (1)

Know the Answer?

Asia Joyce · Answer 1

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