https://file.aiquickdraw.com/mathbot/file/1726570086281ytn85srq.jpg

### Problem 4:
There are **180 students** in a certain junior high school. Of these, **16% of the boys** and **20% of the girls** commute by bicycle. The number of boys and girls commuting by bicycle is equal. You are asked to find how many students in total commute by bicycle.

### Solution to Problem 4:

1. Let the number of boys in the school be \( x \) and the number of girls be \( 180 - x \) (since the total number of students is 180).
   
2. **16% of the boys commute by bicycle**, so the number of boys commuting by bicycle is:
   \[
   0.16x
   \]

3. **20% of the girls commute by bicycle**, so the number of girls commuting by bicycle is:
   \[
   0.20(180 - x)
   \]

4. According to the problem, the number of boys and girls commuting by bicycle is equal, so:
   \[
   0.16x = 0.20(180 - x)
   \]

5. Solving for \( x \):
   \[
   0.16x = 36 - 0.20x
   \]
   \[
   0.

A junior high school has 180 students. Of these, 16% of boys and 20% of girls commute by bicycle, and the number of boys and girls commuting by bicycle is equal. How many students commute by bicycle in total?

Solve a percentage-based algebra problem where the number of students commuting by bicycle is calculated. Includes the use of algebraic expressions and percentages for both boys and girls in a junior high school with 180 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation