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Homework: Section 1.2 Applications Linear
Score: 0 of 1 pt
8 of 10 (7 complete)
1.2.31
How many quarts of pure antifreeze must be added to 4 quarts of a 10% antifreeze solution to obtain a 20% antifreeze solution?
quart(s) of pure antifreeze must be added.
(Round to the nearest tenth as needed)

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Answer:

q = 0.5 quarts of 100% antifreeze

Step-by-step explanation:

q = quarts of pure antifreeze

 

Set this up as a weighted combination of the mixtures.

 

(100%)(q) + (10%)(4) = (20%)(q + 4)

 

100q + 40 = 20(q + 4)

 

5q + 2 = q + 4

 

4q = 2

 

q = 0.5 quarts of 100% antifreeze

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