Question

3 scale up or scale down to determine each unknown quantity. d \\(\frac{18 \text{ pencils}}{1 \text{ box}} = \frac{108 \text{ pencils}}{?}\\)

Explanation:

Step1: Set up the proportion

Let the unknown number of boxes be \( x \). We have the proportion \(\frac{18}{1}=\frac{108}{x}\).

Step2: Cross - multiply

Cross - multiplying gives us \( 18\times x=1\times108 \), which simplifies to \( 18x = 108 \).

Step3: Solve for \( x \)

To solve for \( x \), we divide both sides of the equation by 18: \( x=\frac{108}{18} \).

Step4: Calculate the value of \( x \)

\(\frac{108}{18} = 6\).

Answer:

The unknown quantity is 6 boxes.