Question

In the following exercises, solve using the problem solving strategy for word problems. Remember to write a complete sentence to answer each question.

Zachary has $25$country music CDs, which is one-fifth of his CD collection. How many CDs does Zachary have?

Short answer

The total number of CDs in Zachary collection is $125$.

Step-by-step solution

Step 1. Given Information 

We are given that Zachary has $25$country music CDs.

We have to find the total number of CDs.

Step 2. Forming the equation 

Let the total number of CDs be x,

We know that,

$\frac{1}{5}$of total number of CDs$=25$

So, the equation will be,

$\frac{1}{5}x=25$

Step 3. Solving the equation 

Solving the equation,

$\frac{1}{5}x=25$

Multiplying both sides by $5$, we get

role="math" $$\begin{gathered} 5·\frac{1}{5}x=5·25 \\ x=125 \end{gathered}$$

The total number of CDs is $125$.

Step 4. Checking the solution 

Putting the value of xin the equation, we get

$$\begin{gathered} \frac{1}{5}\left(125\right)=25 \\ 25=25 \\ \text{LHS}=\text{RHS} \end{gathered}$$

Hence the solution is correct.