https://file.aiquickdraw.com/mathbot/file/17268731473356uy42axb.jpg

The diagram shows a ratio between the larger gear and the smaller gear. Based on the image, the ratio of teeth on the larger gear to the smaller gear is visually depicted as 5:1 (the larger gear has 5 parts and the smaller gear has 1 part).

If there are 72 teeth on the larger gear, you can use the ratio to find the number of teeth on the smaller gear.

Since the ratio is 5:1, divide the number of teeth on the larger gear by 5 to find the teeth on the smaller gear:

\[
\frac{72}{5} = 14.4
\]

This means the smaller gear would have **14.4 teeth**. Depending on the context, this might need to be rounded (for example, to 14 teeth), but the exact ratio calculation gives 14.4 teeth.

Would you like to go into more detail, or do you have any other questions?

Here are 5 related questions to explore:
1. What happens if the larger gear had 90 teeth? How many would the smaller gear have?
2. What is the total number of teeth in both gears combined if the ratio remains constant?
3. If the smaller gear has 16 teeth, how many teeth would the larger gear have based on the same ratio?
4. How do different gear ratios affect the speed of the fishing reel?
5. Can the ratio be expressed as a fraction, and how does this help with calculations?

**Tip:** Always ensure the ratio is simplified to make calculations easier!

Based on the ratio, how many teeth are on the smaller gear if there are 72 teeth on the larger gear?

Learn how to calculate the number of teeth on the smaller gear given a ratio and the number of teeth on the larger gear. This problem involves using the ratio concept and proportionality to find the solution. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation