Percents - Sales Tax, Tips, and Commission - Notes, Task Cards ... - Free Printable

The image you uploaded appears to be a worksheet or educational material focused on Sales Tax, Tips, and Commission. Below, I will outline the general concepts involved in these topics and provide explanations for solving problems related to them.

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1. Sales Tax

#### Definition:
Sales tax is a percentage of the purchase price that is added to the cost of goods or services as a tax imposed by the government.

#### Formula:
\[
\text{Total Cost} = \text{Original Price} + (\text{Original Price} \times \text{Tax Rate})
\]
or
\[
\text{Total Cost} = \text{Original Price} \times (1 + \text{Tax Rate})
\]

#### Example Problem:
If you bought a new laptop for $500 and the sales tax rate is 7%, what is the total amount you paid?

#### Solution:
1. Identify the original price: $500.
2. Identify the tax rate: 7% = 0.07.
3. Calculate the total cost:
\[
\text{Total Cost} = 500 \times (1 + 0.07) = 500 \times 1.07 = 535
\]

So, the total amount paid is $535.

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2. Tips

#### Definition:
A tip is an additional amount of money given to someone who provides a service, typically as a percentage of the total bill.

#### Formula:
\[
\text{Tip Amount} = \text{Bill Amount} \times \text{Tip Rate}
\]
\[
\text{Total Bill with Tip} = \text{Bill Amount} + \text{Tip Amount}
\]

#### Example Problem:
You and two friends went out to dinner and the bill came to $120. You decided to leave a 15% tip. What is the total amount you paid?

#### Solution:
1. Identify the bill amount: $120.
2. Identify the tip rate: 15% = 0.15.
3. Calculate the tip amount:
\[
\text{Tip Amount} = 120 \times 0.15 = 18
\]
4. Calculate the total bill with tip:
\[
\text{Total Bill with Tip} = 120 + 18 = 138
\]

So, the total amount paid is $138.

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3. Commission

#### Definition:
Commission is a fee paid to a person or company for performing a service, usually calculated as a percentage of the total sales or transaction value.

#### Formula:
\[
\text{Commission Amount} = \text{Sales Amount} \times \text{Commission Rate}
\]

#### Example Problem:
A furniture salesperson earns a 6% commission on all sales. If she sells a piece of furniture for $800, how much commission does she earn?

#### Solution:
1. Identify the sales amount: $800.
2. Identify the commission rate: 6% = 0.06.
3. Calculate the commission amount:
\[
\text{Commission Amount} = 800 \times 0.06 = 48
\]

So, the commission earned is $48.

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General Steps to Solve Problems Involving Sales Tax, Tips, and Commission

1. Identify the Key Values:
- Original price or bill amount.
- Tax rate, tip rate, or commission rate.

2. Convert Percentages to Decimals:
- For example, 7% becomes 0.07.

3. Apply the Appropriate Formula:
- Use the formulas provided above based on whether you are calculating sales tax, tips, or commission.

4. Perform Calculations Carefully:
- Ensure you multiply correctly and add/subtract as needed.

5. Check Your Answer:
- Verify that your calculations make sense in the context of the problem.

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Final Notes

- Sales Tax: Added to the original price.
- Tips: Added to the bill amount.
- Commission: Earned as a percentage of sales.

These concepts are fundamental in real-world financial transactions and help in understanding how percentages are applied in various scenarios.

If you have specific problems from the worksheet, feel free to share them, and I can solve them step-by-step!

Final Answer:
\boxed{\text{See explanations above for solving Sales Tax, Tips, and Commission problems.}}