Solve the problem.
-In a chemistry class, 6 liters of a $4 \%$ silver iodide solution must be mixed with a $10 \%$ solution to get a $6 \%$ solution. How many liters of the $10 \%$ solution are needed?
A) $4.0 \mathrm {~L}$
B) $3.0 \mathrm {~L}$
C) $2.0 \mathrm {~L}$
D) $6.0 \mathrm {~L}$

Question

Quizplus · Accepted Answer

Let x be the amount (in liters) of the $10 \%$ solution needed.
Then we have:
0.04(6) + 0.1x = 0.06(6+x)
0.24 + 0.1x = 0.36 + 0.06x
0.04x = 0.12
x = 3.0
Therefore, we need 3.0 liters of the $10 \%$ solution to mix with the 6 liters of $4 \%$ solution to get a $6 \%$ solution. Choice B is the correct answer.

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