Question

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

There are $18$Cub Scouts in Pack $645$. The number of scouts is three more than five times the number of adult leaders. Find the number of adult leaders.

Short answer

The number of adult leaders is $3$.

Step-by-step solution

Step 1. Given Information 

We are given that there are$18$ cub scouts.

We have to find the number of adult leaders.

Step 2. Forming the equation 

Let the total number of adult leaders be x,

We know that the number of scouts is three more than five times the number of adult leaders.

So, the equation will be,

$5x+3=18$

Step 3. Solving the equation 

Subtracting$3$ from both sides, we get

$$\begin{gathered} 5x+3=18 \\ 5x=18-3 \\ 5x=15 \end{gathered}$$

Dividing by $5$, we get

$$\begin{gathered} x=\frac{15}{5} \\ x=3 \end{gathered}$$

Hence, the number of adult leaders is $3$.

Step 3. Solving the equation 

Putting the value ofxin the equation, we get

$$\begin{gathered} 5\left(3\right)+3=18 \\ 15+3=18 \\ 18=18 \\ LHS=RHS \end{gathered}$$

Hence the solution is correct.