Question

3 scale up or scale down to determine each unknown quantity. f \\(\frac{1200 \text{ boxes}}{9 \text{ truckloads}} = \frac{?}{3 \text{ truckloads}}\\)

Explanation:

Step1: Analyze the relationship

We have a proportion \(\frac{1200\ \text{boxes}}{9\ \text{truckloads}}=\frac{x}{3\ \text{truckloads}}\), where \(x\) is the unknown number of boxes. Notice that \(9\div3 = 3\), so we scale down the denominator by a factor of 3.

Step2: Scale down the numerator

To keep the proportion equal, we also scale down the numerator (number of boxes) by the same factor of 3. So we calculate \(1200\div3\).
\(1200\div3 = 400\)

Answer:

400 boxes