Question

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

Explanation:

Step1: Define the percentage formula

To find what percent one number is of another, we use the formula: $\text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100\%$. Here, the part is 10 and the whole is 40.

Step2: Substitute values into the formula

Substitute 10 for the part and 40 for the whole: $\text{Percentage} = \frac{10}{40} \times 100\%$.

Step3: Simplify the fraction

Simplify $\frac{10}{40}$ to $\frac{1}{4}$. Then $\frac{1}{4} \times 100\% = 25\%$.

Step4: Check using proportion

Let $x$ be the percentage. The proportion is $\frac{10}{40} = \frac{x}{100}$. Cross - multiply: $40x = 10\times100$. So $40x = 1000$. Divide both sides by 40: $x=\frac{1000}{40}=25$.

Answer:

25%