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15 October, 11:11

The revenue for a vehicle rental store is $5460. There was 208 cars and 52 vans rented. A van rents for $10 more than a car.

a. Write a system of equations that represent this situation.

b. What is the cost of the car rental?

c. What is the cost of the van rental!

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  1. 15 October, 14:42
    0
    208c + 52v = 5460

    v = c + 10

    where c = the price for a car rental and v = the price for a van rental.

    To solve this system, use substitution; the second equation says v is equal to c + 10, so plug in "c + 10" for v in the first equation and solve for c:

    208c + 52 (c + 10) = 5460

    208c + 52c + 520 = 5460

    260c + 520 = 5460

    260c = 4940

    c = 19

    Now that we have c, we can plug it in to the second equation to find v:

    v = (19) + 10

    v = 29

    So, c = 19 and v = 29, meaning that

    The cost of a car rental is $19 and the cost of a van rental is $29.
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