Let's denote the number of small cars rented as "s" and the number of large cars rented as "l".
From the information given, we know that:
1) Each small car can hold 5 people and each large car can hold 7 people, so the total number of people that can be accommodated by s small cars and l large cars is 5s + 7l.
2) The students rented 2 more small cars than large cars, so s = l + 2.
3) Altogether, the small and large cars can hold 46 people, so 5s + 7l = 46.
Therefore, the system of equations is:
5s + 7l = 46
s = l + 2
These equations can be used to find the number of small cars rented and the number of large cars rented by solving the system.
A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the trip. Each small car can hold 5 people and each large car can hold 7 people. The students rented 2 more small cars than large cars, which altogether can hold 46 people. Write a system of equations that could be used to determine the number of small cars rented and the number of large cars rented. Define the variables that you use to write the system.
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