Question

use the proportion p/100=a/b to solve the following problem for the unknown quantity. round your answer to the nearest hundredth if necessary

Answer 1

You have the following proportion given in the exercise:

`(P)/(100)=(A)/(B)`

Where "P" is the percent, "A" is the amount and "B" is the base.

In this case, you need to find the 25% of 50. Then, you can set up that:

`\begin{gathered} P=25 \\ B=50 \end{gathered}`

Then, "A" is the value you need to find.

Hence, substituting values into the proportion and solving for "A", you get:

`\begin{gathered} (25)/(100)=(A)/(50) \\ \\ (25)/(100)\cdot50=A \end{gathered}`
`\begin{gathered} (1250)/(100)=A \\ \\ A=12.5 \end{gathered}`

Therefore, the answer is:

`12.5`