Question

choose tools use a model to answer the question. use a proportion to check your answer. what number is 120% of 70? the number \\(\square\\) is 120% of 70.

Explanation:

Step1: Recall percentage formula

To find a percentage of a number, we use the formula: \( \text{Part} = \frac{\text{Percentage}}{100} \times \text{Whole} \)
Here, percentage is \( 120\% \) (or \( \frac{120}{100} \)) and whole is \( 70 \).

Step2: Calculate the part

Substitute the values into the formula:
\( \text{Part} = \frac{120}{100} \times 70 \)
Simplify \( \frac{120}{100} = 1.2 \)
Then, \( 1.2 \times 70 = 84 \)

Step3: Check with proportion

Let the number be \( x \). We set up the proportion: \( \frac{x}{70} = \frac{120}{100} \)
Cross - multiply: \( 100x = 120\times70 \)
\( 100x = 8400 \)
Divide both sides by 100: \( x=\frac{8400}{100}=84 \)

Answer:

84