Chapter 0.6, Problem 18E

To determine

To calculate: The number such that 5 percent of that number is $3.5$ .

Answer to Problem 18E

The value of thenumber such that 5 percent of that number is $3.5$ is $70$ .

Explanation of Solution

Given information:

  $5\%$ of a number is $3.5$ .

Formula used:

Percent proportion is ratio of amount and base is same as percent to 100.

To convert percentage to fraction divide the number by 100.

Calculation:

Let 5 percent of x is $3.5$ .

Recall that percent proportion is ratio of amount and base is same as percent to 100.

Simplify the term,

  $\begin{array}{c}5\%\times x=3.5\\ \frac{5}{100}\times x=3.5\\ \frac{x}{100}=\frac{3.5}{5}\end{array}$

Cross multiply the terms,

  $\begin{array}{c}\frac{x}{100}=\frac{3.5}{5}\\ x=\frac{100\times 3.5}{5}\\ x=70\end{array}$

Therefore, $3.5$ is $5\%$ of $70$ .

Thus, the value of the number such that 5 percent of that number is $3.5$ is $70$ .