Solve.
-Dmitri needs 6 liters of a $16 \%$ solution of sulfuric acid for a research project in molecular biology. He has two supplies of sulfuric acid solution: one is an unlimited supply of the $12 \%$ solution and the other an unlimited supply of the $24 \%$ solution. How many liters of each solution should Dmitri use?
A) $12 \%$ solution: $4.5$ liters; $24 \%$ solution: $1.5$ liters
B) $12 \%$ solution: 2 liters; $24 \%$ solution: 4 liters
C) $12 \%$ solution: 4 liters; $24 \%$ solution: 2 liters
D) $12 \%$ solution: $3.5$ liters; $24 \%$ solution: $2.5$ liters

Question

Quizplus · Accepted Answer

This problem can be solved using the method of weighted averages or the concept of mixing solutions. Let $x$ be the amount of $12\%$ solution and $y$ be the amount of $24\%$ solution. We have two equations: $x + y = 6$ (since the total solution needed is 6 liters) and $0.12x + 0.24y = 0.16 \times 6$ (to achieve a $16\%$ solution). Solving these equations simultaneously gives $x = 4$ liters and $y = 2$ liters.

Solve -Dmitri Needs 6 Liters of A 16 16%16 \%16% Solution of Sulfuric Acid for a Research Project in Molecular

Solve
-Dmitri Needs 6 Liters of A 16 $16 \%$ Solution of Sulfuric Acid for a Research Project in Molecular