We know that
• Three people share the cost of renting a video game system.
,
• Each person rents one video game for $6.33.
,
• Each person paid $11.33.
Notice that there are two costs, for the video game system and for each video game. We can express this as follows
![s+5(6.33)=5(11.33)](https://img.qammunity.org/2023/formulas/mathematics/college/5nucltom31gw9vyldid42o5bsx38g8nfdu.png)
We multiplied each price by 5 because each person paid 11.33, and each person rented for 6.33.
Now, we solve
![s+31.65=56.65\rightarrow s=56.65-31.65=25](https://img.qammunity.org/2023/formulas/mathematics/college/7x18du8ku0tf8wpw39bvwvtamycvf04n9i.png)
Therefore, the video game system costs $25.