Question

For what value of R is the equation 8 / 12 = 10 / R true?

Answer 1

If we have the equation:

`(8)/(12)=(10)/(R)`

We can do the following to solve the equation:

By the proportions property, we can say that:

8 * R = 12 * 10

Then, if we divide both sides of the equation by 8, we have:

`(8)/(8)\cdot R=\text{ }(12\cdot10)/(8)\Rightarrow R=(120)/(8)\Rightarrow R=15`

Therefore, the value for R in the proportion is R = 15.

We can check this:

`(8)/(12)=(10)/(15)=(2)/(3)`

Then, the proportion remains when R = 15.