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 8 people. The students rented 2 more large cars than small cars, which altogether can hold 94 people. Determine the number of small cars rented and the number of large cars rented.

Question

Mathematics

Leanna Russell

3 March, 09:14

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 5 people and each large car can hold 8 people. The students rented 2 more large cars than small cars, which altogether can hold 94 people. Determine the number of small cars rented and the number of large cars rented.

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Answers (1)

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Rigoberto · Answer 1

The number of small cars rented is 6.

The number of large cars rented is 8.

Step-by-step explanation:

Step 1:

Each small car can hold = 5 people

Each large car can hold = 8 people

Step 2:

Number of small cars rented = x

Number of large cars rented = x + 2

Step 3:

Altogether the total cars can hold 94 people.

Total people = 5 people (No. of small cars) + 8 people (No. of large cars)

94 = 5 (x) + 8 (x+2)

94 = 5x + 8x + 16

78 = 13x

x = 78/13 = 6

∴ Number of small cars, x = 6 small cars

Number of large cars, x+2 = 8 large cars.