# The ratio of grade 4 swimmers to all swimmers is 5:16. Write a proportion that gives the number s...

## Question:

The ratio of grade 4 swimmers to all swimmers is 5:16. Write a proportion that gives the number s of grade 4 swimmers.

## Ratio and Proportion

Ratio is a quantitative relation or comparison between two numbers. It is commonly written in fraction from. On the other hand, proportion is a mathematical statement that equates two ratios.

## Answer and Explanation:

First, we let the variable {eq}N_4 {/eq} be the number of grade 4 swimmers and {eq}N_{total} {/eq} be the number of total swimmers. The proportion becomes

$$\dfrac{N_4}{N_{total}}=\dfrac{5}{16}$$

and the number of grade 4 swimmers would be given by

$$N_4=\dfrac{5}{16}N_{total}$$

#### Learn more about this topic:

Ratios and Proportions: Definition and Examples

from Geometry: High School

Chapter 7 / Lesson 1
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