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20 January, 13:09

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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  1. 20 January, 13:24
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    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.
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