Q27. - Algebra 1

Question

SOLUTION A glucose solution is prepared by dissolving 6 milliliters of glucose in 120 milliliters of pure solution. What is the percent of glucose in the resulting solution?

Step-by-Step Solution

Answer

The percent of glucose in pure solution is 5%.

Step 1. Given information.

A glucose solution is prepared by dissolving 6 milliliters of glucose in 120 milliliters of pure solution.

Step 2. Definition of percentage.

A percentage is a ratio that can be expressed as a fraction of 100. 

Step 3. Assumptions and apply the definition of percentage.

Let x percent of glucose be there in pure solution.

 

According to the question, the amount of glucose divided by the amount of pure solution is the desired percent,

$\frac{6}{120}=\frac{x}{100}$

Step 4. Calculations.

$$\begin{gathered} \frac{6}{120}=\frac{x}{100} \\ x=\frac{6\times 100}{120} \\ x=5 \end{gathered}$$

Hence, the percent of glucose in pure solution is 5%.