Middle School

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Three salesmen work for the same company, selling the same product. Although they are all paid on a weekly basis, each salesman earns his paycheck differently.

- Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300.
- Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn.
- Salesman C does not earn any commission. His weekly salary is $900.

**Questions:**

1. If Salesman A has exactly _____ sales, he will reach his maximum weekly commission.

2. Suppose Salesmen A and B have the same number of sales and earn the same amount in Week 4 of this month. How many sales must they both have had?
- _________ sales

3. On any given week, if Salesman B earns $1,020, how many sales did he have for the week?
- _______ sales

Answer :

Final answer:

Salesman A reaches his maximum commission at 20 sales. Salesmen A and B must have had 16 sales to earn the same amount. Salesman B had 18 sales in a week to earn $1020.

Explanation:

Q1. Salesman A reaches his maximum weekly commission when he has 20 sales. Since he earns $65 per sale, his maximum weekly commission is 20 x $65 = $1300.

Q2. If Salesman A and Salesman B have the same number of sales and earn the same amount in Week 4 of this month, they must both have had 16 sales. Since Salesman B earns a base salary of $300 and a commission of $40 per sale, his total earnings will also be $1300 when he sells 16 cars.

Q3. If Salesman B earns $1020 in a week, he must have had 18 sales. Since he earns $40 per sale, his total commission will be 18 x $40 = $720. Adding his base salary of $300, his total earnings will be $1020.

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Rewritten by : Barada

1. 1,300/65= 20
ans: 20

2. A=B
65x=300+40x
25x=300
x=12
ans: 12

3.
(1020-300)/40
720/40
18
ans: 18

Hope this helps :)