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3. three - fourths of the 8th graders of kingston middle school went on…

Question

  1. three - fourths of the 8th graders of kingston middle school went on the class trip. if 252 students went on the trip, how many 8th graders are there?

Explanation:

Step1: Define the variable

Let \( x \) be the total number of 8th graders.

Step2: Set up the equation

We know that three - fourths of the 8th graders is 252. So the equation is \(\frac{3}{4}x = 252\).

Step3: Solve for \( x \)

To solve for \( x \), we multiply both sides of the equation by the reciprocal of \(\frac{3}{4}\), which is \(\frac{4}{3}\). So \( x=252\times\frac{4}{3}\).
First, calculate \( 252\div3 = 84\), then multiply by 4: \( 84\times4=336\).

Answer:

The total number of 8th graders is 336.