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

Question

3 years ago

14

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 4 people and each large car can hold 6 people. The students rented 4 times as many large cars as small cars, which altogether can hold 56 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.

Mathematics

1 answer:

Alexus [3.1K] · Answer 1 · 2022-01-10T19:49:48+03:00

4x+6y=56 and y=4x can be used to determine the number of small cars rented and the number of large cars rented, where x represents number of small cars and y represents number of large cars.

Step-by-step explanation:

Number of people hold by small cars = 4

Number of people hold by large cars = 6

Let,

Number of small cars = x

Number of large cars = y

The students rented 4 times as many large cars as small cars,

y = 4x Eqn 1

which altogether can hold 56 people.

4x+6y=56 Eqn 2

4x+6y=56 and y=4x can be used to determine the number of small cars rented and the number of large cars rented, where x represents number of small cars and y represents number of large cars.

Keywords: linear equations, addition

Learn more about linear equations at:

#LearnwithBrainly