Question

A total of 120 high school students were surveyed about their winter break shopping habits. The results revealed that 50% shop for new clothes, 35% shop forschool supplies, and 25% shop for clothes and school supplies. How many students shop for clothes or school supplies over the break?

Answer 1

Answer:

72

Explanation:

Given that:

Percentage of students shop fro new clothes = 50%

Percentage of students shop for school supplies = 35%

Percentage of students shop for clothes and school supplies = 25%

Total number of students in the high school = 120

Use the formula:

$n(A\cup B)=n(A)+n(B)-n(A\cap B)$

Then:

Percentage of students shop for clothes or school supplies

$\begin{gathered} =50\%+35\%-25\% \\ =50\%+10\% \\ =60\% \end{gathered}$

Number of students shop for clothes or school supplies

$\begin{gathered} =120\cdot60\% \\ =120\cdot\frac{60}{100} \\ =72 \end{gathered}$

Hence, 72 students shop for clothes or school supplies over the break.