6th Grade Math Textbook, Fundamentals

Lesson 7-12 for exercise sets. &KDSWHU 

3UDFWLFH   $FWLYLWLHV

Find the commission.

1.6% commission on $25,000 in sales 2.6.2% commission on $48,200 in sales

Find the rate of commission.

3.$1755 earned on $92,000 in sales 4.$4936 earned on $36,000 in sales

Find the total sales.

5.$3480 earned with 10% commission rate 6.$720.76 earned with 3.7% commission rate

7.Discuss and Write Explain how you would find a 3% commission for

an item sold at $7800. Then solve.

You can find the total sales when you know the commission ($105) and

the commission rate (7%).

Method 1 Write and Solve an Equation

total sales 

Let TSthe total sales.

TS Substitute the known values.

TS Write 7% as a decimal, then divide.

TS$1500

So the amount of total sales is $1500.

$105

0.07

$105

7%

commission

commission rate

Method 2 Write and Solve a Proportion





105 • 100  7 TS

 Divide both sides by 7.

150 0 TS

7 TS

7

10,500

7

Substitute the known

values, then cross multiply.

7

100

105

TS

commission rate (%)

100

commission

total sales (TS)

You can write and solve an equation to compare commissions.

Ms. Spann sold a condominium for $380,000 at a commission rate of 9%.

Ms. Lee sold a condominium for $440,000 at a commission rate of 7.5%.

Which real estate agent earned a higher commission? How much higher?

Ms. Spann’s commission:

commission commission rate • total sales

Let Cthe amount of commission.

C9% • $380,000

C0.09• $380,000

C$34,200

Write 9% as a decimal,

then multiply.

Substitute the

known values.

Ms. Lee’s commission:

commission commission rate • total sales

Let Cthe amount of commission.

C7.5% • $440,000

C0.075• $440,000

C$33,000

Write 7.5% as a

decimal, then multiply.

Substitute the

known values.

Subtract to find the difference in the two commissions: $34,200 $33,000 $1,200.

So Ms. Spann’s commission was $1200 greater than Ms. Lee’s.