Question

choose tools use a model to answer the question. use a proportion to check your answer.
10 is what percent of 40?

10 is \\(\square\\) percent of 40.

Explanation:

Step1: Define the proportion

Let \( x \) be the percentage we want to find. We know that the proportion of 10 to 40 is equal to \( \frac{x}{100} \) (since percent means "per hundred"). So we set up the proportion:
\( \frac{10}{40}=\frac{x}{100} \)

Step2: Solve for \( x \)

Cross - multiply the proportion: \( 40x = 10\times100 \)
Simplify the right - hand side: \( 40x=1000 \)
Divide both sides by 40: \( x=\frac{1000}{40} = 25 \)

Answer:

25