the ratio to girls to boys is 5 to 3. If there are 470 girls, how many boys are there?

Question:

the ratio to girls to boys is 5 to 3. If there are 470 girls, how many boys are there?

Ratio:

The ratio is used to show the comparable values of different entities. The ratio is represented by using fractions, depending on the particular condition. The ratio shows how many times a value or entity is greater than another value or lower than another value.

Answer and Explanation:


Given Data

  • The ratio to girls to boys is: {eq}5:3 {/eq}
  • The number of girls is: {eq}x = 470 {/eq}


Let the number of boys is {eq}y {/eq}.

The relation between the ratio of girls to boys is,

{eq}x:y = 5:3 {/eq}


Substitute the known value.

{eq}\begin{align*} 470:y &= 5:3\\ \dfrac{{470}}{y} &= \dfrac{5}{3}\\ y &= 470\left( {\dfrac{3}{5}} \right)\\ y &= 282 \end{align*} {/eq}


Thus, the number of boys is {eq}282 {/eq}.


Learn more about this topic:

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What is Ratio in Math? - Definition & Overview

from CAHSEE Math Exam: Help and Review

Chapter 10 / Lesson 14
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