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A mixture of 5% disinfectant solution is to be made from 6% and 2% disinfectant solutions. How...

Question:

A mixture of 5% disinfectant solution is to be made from 6% and 2% disinfectant solutions.

How much of each solution should be used if 36 gallons of 5% solution are needed?

Ratio and proportion:

Ratio and proportion are the fundamental concepts of mathematics in which ratio compares the values and proportion state that the given equations are equal. In statistics, it is used to determine the relationship between the given variables.

Answer and Explanation:

Given information:

5 percent mixture is made from 6 and 2 percent disinfectant solutions.

Now,

{eq}\begin{align*} 0.06x + 0.02\left( {36 - x} \right) &= 36 \times 0.05\\ 0.04x &= 1.08\\ x &= 27 \end{align*} {/eq}

So, for 27 gallons 6% solution is needed and for 9 gallons 2% solution.


Learn more about this topic:

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Ratios and Proportions: Definition and Examples

from Geometry: High School

Chapter 7 / Lesson 1
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