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question: 3 a school gave 100 of its students a survey to determine whi…

Question

question: 3
a school gave 100 of its students a survey to determine which sport they like to play the most out of 3 given choices.
there are 800 students in total at the school. approximately how many more students at the school would choose soccer instead of basketball?
a. 400
b. 360
c. 160
d. 20

Explanation:

Step1: Find the percentage difference

The percentage of students who like soccer is \(48\%\), and the percentage of students who like basketball is \(28\%\). The difference in percentage is \(48\% - 28\%=20\%\).

Step2: Calculate the number of students

There are \(800\) students in total. To find the number of students corresponding to the \(20\%\) difference, we use the formula \(n = 800\times\frac{20}{100}\).

$$n = 800\times0.2=160$$

Answer:

C. 160