Question

1. a survey of 500 middle school students found that 420 of them spend more than 10 hours per week online.

what percentage of middle schoolers spend more than 10 hours per week online? show your work.

Explanation:

Step1: Use the percentage formula

The formula for percentage is $\frac{\text{Part}}{\text{Whole}}\times100\%$. Here, the part is the number of students who spend more than 10 hours online ($420$), and the whole is the total number of students surveyed ($500$).

Step2: Substitute values into the formula

Substitute $420$ for the part and $500$ for the whole: $\frac{420}{500}\times100\%$.
First, simplify $\frac{420}{500}=\frac{21}{25}$ (by dividing numerator and denominator by $20$).
Then, $\frac{21}{25}\times100\%=(21\times4)\%$ (since $\frac{100}{25} = 4$).

Answer:

$84\%$