Question

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. A total of 10 cars were rented which can hold 66 people altogether. 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

Answer 1

To determine the number of small cars rented and the number of large cars rented, we can use a system of equations. The variables x and y represent the number of small cars and large cars rented, respectively. By solving the system of equations, we can find the values of x and y.

Step-by-step explanation:

To determine the number of small cars rented and the number of large cars rented, we can use a system of equations. Let's define the variables:

x - Number of small cars rented

y - Number of large cars rented

Based on the given information, each small car can hold 5 people and each large car can hold 7 people. We also know that a total of 10 cars were rented which can hold 66 people altogether.

Using this information, we can write the following system of equations:

x + y = 10 (equation 1, representing the total number of cars rented)

5x + 7y = 66 (equation 2, representing the total number of people the cars can hold)

By solving these two equations simultaneously, we can find the values of x and y, which represent the number of small cars and large cars rented, respectively.