Question

a group of people are surveyed about whether they enjoy dancing or not and whether they listen to music while doing chores or not. which value could go in the blank cell so that the percentage of people who do not listen to music while doing chores and do not enjoy dancing is 37.5%? a. 63 b. 82 c. 175 d. 205

Explanation:

Step1: Let the number in the blank cell be \( x \).

The total number of people surveyed is \( 82 + 105+141 + x=328 + x \).

Step2: Use the percentage formula.

The number of people who do not listen to music while doing chores and do not enjoy dancing is \( x \). We know that \(\frac{x}{328 + x}=0.375\) (since \(37.5\%=\frac{37.5}{100} = 0.375\)).

Step3: Solve the equation.

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Answer:

A. 63