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Liono4ka [1.6K]
3 years ago
10

John the car salesman makes a commission on selling cars, as a percentage of the price, which

Mathematics
1 answer:
Bess [88]3 years ago
3 0

Answer:

<u>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%.</u>

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%

<u>John's commission percentage on new cars is 2% and his commission percentage on used cars is 3%</u>

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