Q61. - Algebra 1

Question

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

Four and four-fifths times a number equals one and one-fifth.

Step-by-Step Solution

Answer

The required number is $\frac{1}{4}$.

Step 1. Write the given information.

Given statement: Four and four-fifths times a number equals one and one fifth.

Step 2. Assumption.

Let the number be x.

Then, the required equation: $4\frac{4}{5}x=1\frac{1}{5}$

Step 3. Calculation.

$\begin{array}{l}4\frac{4}{5}x=1\frac{1}{5}\\ \frac{24}{5}x=\frac{6}{5}\\ x=\frac{6}{5}\times \frac{5}{24}\\ x=\frac{1}{4}\end{array}$

Thus, the number is $\frac{1}{4}$.