Question

Math

Posted 6 months ago

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Researchers surveyed recent graduates of two different universities about their income. The following two-way table displays data for the sample of graduates who responded to the survey.
Approximately what percent of graduates in the sample had an income under $\$ 20,000 ?$
Round your answer to the nearest percent.
$\square$ $\%$
\begin{tabular}{lccc}
Income & University A & University B & TOTAL \\
\hline Under $\$ 20,000$ & 35 & 40 & 75 \\
$\$ 20,000$ to $\$ 39,999$ & 90 & 63 & 153 \\
$\$ 40,000$ and over & 35 & 37 & 72 \\
TOTAL & 160 & 140 & 300
\end{tabular}
```

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Answer from Sia

Posted 6 months ago

Solution by Steps

step 1

To find the percentage of graduates who had an income under $20,000, we need to divide the number of graduates in that income category by the total number of graduates and then multiply by 100

step 2

The number of graduates with an income under $20,000 is given as 75

step 3

The total number of graduates surveyed is given as 300

step 4

Using the formula for percentage: $\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100$

step 5

Substitute the given values into the formula: $\text{Percentage} = \left( \frac{75}{300} \right) \times 100$

step 6

Simplify the fraction and calculate the percentage: $\text{Percentage} = \left( \frac{1}{4} \right) \times 100 = 25\%$

Answer

25%

Key Concept

Percentage Calculation

Explanation

To calculate the percentage of a part relative to a whole, divide the part by the whole and multiply by 100.

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