Q58. - Algebra 1

Question

Write an equation for each sentence. Then solve the equation.

Five-elevenths of a number is 55.

Step-by-Step Solution

Answer

The required number is 121.

Step 1. Write the given information.

Given statement: Five-elevenths of a number is 55.

Step 2. Assumption.

Let the number be x.

Then, Required equation: $\frac{5}{11}x=55$

Step 3. Calculation.

$\begin{array}{l}\frac{5}{11}x=55\\ x=\frac{55\times 11}{5}\\ x=121\end{array}$

Thus, the number is 121.