Question

the yearbook club had a meeting. the meeting had 24 people, which is three - fourths of the club. how many people are in the club? solving a better word problem using a linear equation of the form ax = b

Explanation:

Step1: Define the variable

Let \( x \) be the total number of people in the club.

Step2: Set up the equation

We know that \( \frac{3}{4} \) of the club (which is \( \frac{3}{4}x \)) is equal to 24 people. So the equation is \( \frac{3}{4}x = 24 \).

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 \( x = 24\times\frac{4}{3} \).
Calculating \( 24\times\frac{4}{3} \), we can simplify \( 24\div3 = 8 \), then \( 8\times4 = 32 \). So \( x = 32 \).

Answer:

The number of people in the club is 32.