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3 scale up or scale down to determine each unknown quantity. d) $\frac{…

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 proportion equation

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

Step2: Cross - multiply

Cross - multiplying gives \( 18x = 108\times1 \).

Step3: Solve for x

Divide both sides by 18: \( x=\frac{108}{18} = 6 \).

Answer:

6 boxes