Question

1. charles beaudry sells computer hardware for a computer manufacturer. he is paid 4% commission on the first $8,000 of sales, 6% on the next $10,000, and 8½% on sales over $18,000. what is his commission on $24,550 in sales?
2. tunisia buehrer sells musical instruments and equipment at let it rock in the mall. she earns a commission of 5% on the first $6,000, 7½% on the next $6,000, and 10% on sales over $12,000. her total sales for the month are $14,640. what is tunisia’s total commission?
3. blake brown demonstrates cookware at the national food fair. he is paid $7.00 each for the first 10 demonstrations in one day and $8.50 for each demonstration over 10. what is his commission if blake makes 12 demonstrations in one day?
4. some sales positions pay a commission only if sales exceed a sales quota. the salesperson is rewarded only for having sales beyond an expected amount. joyce doyle is a sales trainee. she is paid $1,550 per month plus a commission of 7.5% on all sales of more than a $20,000 monthly quota. what is joyce’s total pay for a month in which her sales totaled $22,650?
5. algebra adnan hassan earned 5% commission as a sales trainee. after promotion to a sales associate, he earned 8% commission. his year - end report showed $673,874 in total sales and $45,006.52 in commission. what did his sales total as (a) a sales trainee and (b) a sales associate?
6. challenge problem marie stefanski sells outdoor grills. she knows she earns 10% commission on the first $10,000 and 12% on the next $15,000. she does not remember the rate on the sales of more than $25,000. her total sales for the month are $30,000, and her total commission is $3,550. what is her rate of commission for the sales over $25,000?
7. writing in math use the information you have learned in this lesson to write your own graduated commission word problem.

spiral review
write each as a decimal. (skill 28)

1. 5½%
2. 10¼%
3. 15%

find the percentage of each. (skill 30)

1. 5¼% of $2,000
2. 7% of $4,560
3. 15½% of $3,500
4. 3.75% of $1,500
5. morgan dubois was just hired as a chemical engineer for hobart company. her starting salary is $60,985 per year. what are her (a) monthly salary and (b) weekly salary? (lesson 1.5)
6. carissa jackson is paid $15 for each bicycle that she assembles. last week she assembled 12 bicycles. what was her total pay? (lesson 1.4)

get ready for the next lesson
prerequisite skill numbers (skill 1)
give the place and value of the underlined digit.

1. 2,529.00
2. 345.83
3. 0.4255
4. 52,800
5. 62.42
6. 107,050

Explanation:

Problem 11

Step1: Calculate 4% of first $8,000

$\text{Commission}_1 = 0.04 \times 8000 = 320$

Step2: Calculate 6% of next $10,000

$\text{Commission}_2 = 0.06 \times 10000 = 600$

Step3: Calculate $8\frac{1}{2}\%$ of remaining sales

Remaining sales: $24550 - 8000 - 10000 = 6550$
$\text{Commission}_3 = 0.085 \times 6550 = 556.75$

Step4: Sum all commissions

$\text{Total Commission} = 320 + 600 + 556.75$

Step1: Calculate 5% of first $6,000

$\text{Commission}_1 = 0.05 \times 6000 = 300$

Step2: Calculate $7\frac{1}{2}\%$ of next $6,000

$\text{Commission}_2 = 0.075 \times 6000 = 450$

Step3: Calculate 10% of remaining sales

Remaining sales: $14640 - 6000 - 6000 = 2640$
$\text{Commission}_3 = 0.10 \times 2640 = 264$

Step4: Sum all commissions

$\text{Total Commission} = 300 + 450 + 264$

Step1: Calculate pay for first 10 demos

$\text{Pay}_1 = 10 \times 7.00 = 70.00$

Step2: Calculate pay for extra demos

Extra demos: $12 - 10 = 2$
$\text{Pay}_2 = 2 \times 8.50 = 17.00$

Step3: Sum total pay

$\text{Total Pay} = 70.00 + 17.00$

Answer:

$\$1476.75$

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Problem 12