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Kipish [7]
3 years ago
9

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 7 people. The students rented twice as many large cars as small cars, which altogether can hold 72 people. Determine the number of small cars rented and the number of large cars rented.
Mathematics
1 answer:
maxonik [38]3 years ago
3 0

The students rented 4 small cars and 8 large cars.

Step-by-step explanation:

Given,

Number of people in small car = 4

Number of people in large car = 7

Total people in both type of cars = 72

Let,

x represent the number of small cars rented.

y represent the number of large cars rented.

According to given statement;

4x+7y=72     Eqn 1

y = 2x           Eqn 2

Putting value of y from Eqn 2 in Eqn 1

4x+7(2x)=72\\4x+14x=72\\18x=72

Dividing both sides by 18

\frac{18x}{18}=\frac{72}{18}\\x=4

Putting x=4 in Eqn 2

y=2(4)\\y=8

The students rented 4 small cars and 8 large cars.

Keywords: linear equation, substitution method

Learn more about linear equations at:

  • brainly.com/question/10557938
  • brainly.com/question/10600222

#LearnwithBrainly

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7 0
2 years ago
If y varies directly as x, and y=6 as x=-1, find y for the x-value of 5
Tema [17]

Answer:

y=-30

Step-by-step explanation:

we are given

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6 0
3 years ago
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NeTakaya

Answer:

The third one

Step-by-step explanation:

consider the following image

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4 0
3 years ago
Please help me, I know it’s not the first one but I think it’s the last one. Can somebody please confirm or deny?
GaryK [48]

Answer:

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Step-by-step explanation:

Given:

Slant height (l) = 2.2 m

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Answer:

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Step-by-step explanation:

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