Question

1. choose tools use a model to answer the question. use a proportion to check your answer. 20 is what percent of 50? 20 is \\(\square\\) percent of 50. \\(\square = \frac{?}{100}\\) 5. choose tools use a model to answer the question. use a proportion to check your answer. 48 is 75\\% of what number? 48 is 75\\% of \\(\square\\). 6. write and solve a proportion to answer the question. what percent of 25 is 12? \\(p = \square\\)

Explanation:

Step1: Set up percent proportion

$\frac{20}{50} = \frac{p}{100}$

Step2: Cross-multiply to solve for $p$

$50p = 20 \times 100$
$50p = 2000$
$p = \frac{2000}{50} = 40$

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Step1: Set up percent equation

$48 = 0.75 \times n$

Step2: Solve for unknown number $n$

$n = \frac{48}{0.75} = 64$

Step3: Verify with proportion

$\frac{48}{64} = \frac{75}{100}$, $\frac{3}{4} = \frac{3}{4}$ (valid)

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Step1: Set up percent proportion

$\frac{12}{25} = \frac{p}{100}$

Step2: Cross-multiply to solve for $p$

$25p = 12 \times 100$
$25p = 1200$
$p = \frac{1200}{25} = 48$

Answer:

1. 40
2. 64
3. $\frac{12}{25}$; $p=48$