Question

maya is on her way home in her car. she has driven 24 miles so far, which is three - fourths of the way home. what is the total length of her drive? miles

Explanation:

Step1: Define the variable

Let \( x \) be the total length of her drive (in miles).

Step2: Set up the equation

We know that three - fourths of the total length is 24 miles. So we can write the equation \(\frac{3}{4}x = 24\).

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 \( x=24\times\frac{4}{3}\).
First, calculate \( 24\div3 = 8\), then \( 8\times4=32\). So \( x = 32\).

Answer:

32