Question

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

Philip pays \($1,620$ in rent every month. This amount is \)$120$ more than twice what his brother Paul pays for rent. How much does Paul pay for rent?

Short answer

The amount of Paul's rent is $\$750$.

Step-by-step solution

Step 1. Given Information 

We are given that Phillip pays$\$1,620$ rent in every month.

We have to find the amount of Paul rent.

Step 2. Forming the equation 

Let the amount of Paul's rent be x,

We know that Philip rent is $$120$more than twice of Paul's rent.

So, the equation will be,

$2x+120=1620$

Step 3. Solving the equation 

Subtracting $120$from both sides, we get

$$\begin{gathered} 2x+120=1620 \\ 2x=1620-120 \\ 2x=1500 \end{gathered}$$

Dividing by $2$,

$$\begin{gathered} x=\frac{1500}{2} \\ x=\$750 \end{gathered}$$

Hence, the amount of Paul's rent is role="math" localid="1647168169497" $\$750$.

Step 4. Checking the solution 

Putting the value ofxin the equation, we get

$$\begin{gathered} 2x+120=1620 \\ 2\left(750\right)+120=1620 \\ 1500+120=1620 \\ 1620=1620 \\ LHS=RHS \end{gathered}$$

Hence the solution is correct.