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How many quarts of a 50% solution of acid must be added to 20 quarts of a 20% solution of acid to obtain a mixture containing a 40% solution of acid? Answer:

User Hernaldo
by
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2 Answers

2 votes

Answer: 40 quarts


Explanation:



let x = amount of the 50% solution


A typical mixture equation using the decimal equivalent to


.50x + .20(20) = .40(x+20)

.50x + 4 = .40x + 8

.50x - .40x = 8 - 4

.10x = 4

x = 4/.1

x = 40 qts of 50% solution


Hence 40 quarts of 50% solution must be added.

User Nick Manojlovic
by
8.3k points
3 votes

Answer:

40 quarts.

Explanation:

Let x =quarts of the 50% solution

so, according to the question

the typical mixture equivalent equation will be like this


.50x + .20(20) = .40(x+20)\\.50x + 4 = .40x + 8\\.50x - .40x = 8 - 4\\.10x = 4\\x = 4/.10 \\x = 40

so the answer will be 40 quarts of 50% solution should be added.



User Sasha Nikolic
by
9.1k points

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