Question

If 20% of a number is 35, what is 50% of that number?A. 55B. 70C. 87.5D. 175

Answer 1

Answer: C. 87.5

Explanation:

Answer 2

Step 1

Find 100 percent of the number

and

Let x represent 100 percent of the number

`\begin{gathered} 20\text{\%}=(20)/(100)=0.2 \\ 100\text{\%}=(100)/(100)=1 \\ (0.2)/(1)=(35)/(x) \\ 0.2x=35 \\ (0.2x)/(0.2)=(35)/(0.2) \\ x=175 \end{gathered}`

Step 2

Find 50% of the number

and

Let y represent 50% of the number

`\begin{gathered} 50\text{\%=}(50)/(100)=0.5 \\ (0.5)/(1)=(y)/(175) \\ \end{gathered}`
`\begin{gathered} 0.5*175=y \\ y=87.5 \end{gathered}`

Hence, 50% of the number = 87.5