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

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%