Chapter 4.6, Problem 13PPS

To determine

To find: The cost of renting the system

Answer to Problem 13PPS

The cost of renting the system is $14.25.

Explanation of Solution

Given:

Each person rents one game for $8.50

Total amount paid by each person is $13.25

Calculation:

Let x be the cost of renting the system.

There are total 3 friends.

So, the cost for each friend to rent the system is $\frac{x}{3}$

Also each person rents one game for $8.50

Total amount paid by each person is $13.25

Putting all together, the required equation is,

  $\frac{x}{3}+8.50=13.25\mathrm{......}\text{(1)}$

Solve the equation (1) for x ,

  $\begin{array}{l}\frac{x}{3}+8.50=13.25\\ \frac{x}{3}+8.50-8.50=13.25-8.50\text{ Subtraction property of equality}\\ \frac{x}{3}=4.75\text{ Simplify}\\ \frac{x}{3}\cdot \left(3\right)=4.75\cdot \left(3\right)\text{ Multiply with 3 on both sides}\text{.}\\ x=14.25\text{ Simplify}\end{array}$

Hence, the cost of renting the system is $14.25.

Conclusion:

Hence, the cost of renting the system is $14.25.