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.

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.