Deborah makes 33 donuts every 7 hours. Using a proportion, determine how many whole donuts she will make in 5 hours.

Complete the proportion below.

(1 point)

1 answer

To solve for how many donuts Deborah makes in 5 hours using a proportion, we can set up the following:

\[ \frac{33 \text{ donuts}}{7 \text{ hours}} = \frac{x \text{ donuts}}{5 \text{ hours}} \]

Now, we can complete the proportion:

\[ \frac{33}{7} = \frac{x}{5} \]

From here, to solve for \(x\), we can cross-multiply:

\[ 33 \cdot 5 = 7 \cdot x \]

This simplifies to:

\[ 165 = 7x \]

Now, divide both sides by 7:

\[ x = \frac{165}{7} \approx 23.57 \]

Since we are looking for whole donuts, Deborah would make approximately 23 whole donuts in 5 hours. The completed proportion is:

\[ \frac{33}{7} = \frac{x}{5} \]