Q21. - Algebra 1

Question

Use the percent proportion to find each number.

49 is 200% of what number?

Step-by-Step Solution

Answer

The number 49 is 200% of 24.5.

Step 1. Given information.

200% of a number is 49.

Step 2. Definition of percentage.

A percentage is a ratio that can be expressed as a fraction of 100. 

Step 3. Assumptions and apply the definition of percentage.

Let that number be x,

Apply the definition of percentage. So,

$200\%\times x=49$

Step 4. Calculations.

$$\begin{gathered} 200\%\times x=49 \\ \frac{200}{100}\times x=49 \\ 2x=49 \\ x=24.5 \end{gathered}$$

Hence, the value of the number such that 200% of that number is 49 is 24.5.