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>
