Question

If the ratio of x:8=21:24, what is the value of x?

Answer 1

See below.

Explanation:

For this problem, we are asked for the value of x.

Let's use a Proportion to identify x.

What is a Proportion?

A Proportion is a comparison of two equivalent fractions, or ratios.

An example of a proportion can be;
`(x)/(16) =(16)/(32)`, where the value of x is 8.

For this example, we can find x by dividing the Numerator and Denominator by 2.

Let's use the example as a guide for our problem.

We can set up our problem as a ratio, or a fraction. Both represent the same data.

`(x)/(8) = (21)/(24)`

We should know that 24 is 3 times bigger than 8, hence we should divide both the Numerator and Denominator by 8.

`(21 / 8)/(24 / 8) = (7 \ (x))/(8)`

The value of x is 7.

Answer 2

Answer: x = 7

Explanation:

Given:

x:8 = 21:24

Rewrite as fractions:

`\displaystyle (x)/(8) =(21)/(24)`

Cross-multiply:

x * 24 = 8 * 21

24x = 168

Divide both sides of the equation by 24:

x = 7