Math  /  Numbers & Operations

QuestionSeventh grade P. 6 Percent of a number: tax, discount, and more SPN You have prives to reveals Go to your game board. Video Questions answered
Dalton earns 20%20 \% commission as a salesperson. He sold a wooden bench that cost $88\$ 88. How much commission did Dalton earn? \$

Studdy Solution

STEP 1

What is this asking? How much money did Dalton make selling an $88\$88 bench if he gets 20%20\% of the sale price? Watch out! Don't forget to convert the percentage to a decimal before multiplying!

STEP 2

1. Convert the percentage to a decimal.
2. Calculate the commission.

STEP 3

We're given Dalton's commission as a **percentage**, 20%20\%.
To work with it mathematically, we need to convert it to a **decimal**.
Remember, "percent" means "per hundred," so 20%20\% is the same as 2020 out of 100100, or 20100\frac{20}{100}.

STEP 4

To **convert** the percentage to a decimal, we **divide** 2020 by 100100.
This gives us 20÷100=0.2020 \div 100 = 0.20.
So, Dalton's commission rate as a decimal is **0.200.20**.

STEP 5

Now, we can **calculate** how much commission Dalton earned.
We know he sold the bench for $88\$88 and his commission rate is 0.200.20.
To find the commission, we **multiply** the sale price by the commission rate.

STEP 6

So, the commission Dalton earned is $880.20=$17.60.\$88 \cdot 0.20 = \$17.60.

STEP 7

Dalton earned $17.60\$17.60 in commission.

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