Chapter 1.9, Problem 39STP

To determine

Find the required number.

Answer to Problem 39STP

  $\text{121}$

Explanation of Solution

Given:

Five elevenths times a number is 55.

Concept Used:

Convert the phrase ‘Five elevenths times a number is 55’into equation.

Calculation:

Let the number be $\text{N}$

Five elevenths times a number: $\frac{5}{11}\text{N}$

Five elevenths times a number is 55: $\frac{5}{11}\text{N}=55$

Equation: $\frac{5}{11}\text{N}=55$

Solve : Multiply each term of the equation by 11, the denominator of left side

  $\begin{array}{l}\frac{5}{11}\text{N}=55\\ 11·\frac{5}{11}\text{N}=11·55\text{[}\text{Multiply}\text{both}\text{sides}\text{by}\text{11}\text{]}\\ \text{5N}\text{=}605\\ \frac{5\text{N}}{5}=\frac{605}{5}\text{[}\text{Divide}\text{both}\text{sides}\text{by}5\text{]}\\ \text{N}=\text{121}\end{array}$

The required number is $\text{121}$

Thus, the required number is $\text{121}$