John the car salesman makes a commission on selling cars, as a percentage of the price, which depends on the car being new or used (“P

Question

John the car salesman makes a commission on selling cars, as a percentage of the price, which
depends on the car being new or used (“PreOwned”?). His commission on used cars is 50% more
than on new cars. In a particular month he sells new cars worth $80,000 and used cars worth
$50,000, and his commission check is $3,100.
(a) If x represents the commission percentage on new cars, express the commission percentage
on used cars in terms of x.

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Iris 2 weeks 2021-11-07T08:35:46+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-11-07T08:37:31+00:00

    Answer:

    John’s commission percentage on new cars is x and his commission percentage on used cars is 1.5x, therefore, John’s commission percentage on new cars is 2% and his commission percentage on used cars is 3%.

    Step-by-step explanation:

    1. Let’s review the information provided to us to answer the question correctly:

    John’s commission percentage on new cars = x

    John’s commission percentage on used cars = x + 50%x (His commission on used cars is 50% more  than on new cars)

    Sales on new cars = $80,000

    Sales on used cars = $50,000

    John’s commission check = $3,100

    2. If x represents the commission percentage on new cars, express the commission percentage  on used cars in terms of x.

    John’s commission percentage on new cars = x

    John’s commission percentage on used cars = x + 50%x = 1.5x

    Now we can solve for x, this way:

    80,000x + 50,000 * 1.5x = 3,100

    80,000x + 75,000x = 3,100

    155,000x = 3,100

    x = 3,100/155,000

    x = 0.02 = 2% ⇒ 1.5x = 3%

    John’s commission percentage on new cars is 2% and his commission percentage on used cars is 3%

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