Introduction
Tips, Commissions, and Fees is an important Grade 7 math skill because students are moving from simple answers toward explaining how the math works.
In this lesson, students use models, real questions, worked examples, practice problems, and two online quizzes to build confidence with tips, commissions, and fees.
What Is Tips, Commissions, and Fees?
Tips, Commissions, and Fees means choosing a model, naming what each number means, and explaining the strategy.
The goal is not only to get the answer. Students should be able to show the idea, explain the strategy, and check whether the answer makes sense.
Understanding Tips, Commissions, and Fees
Before solving, students should slow down and decide what each number, shape, unit, or label represents.
- Read the question carefully and identify what is being asked.
- Choose a model, equation, table, or diagram that matches the situation.
- Solve one step at a time and keep units or labels attached.
- Use the answer explanation to check that the result makes sense.
Visual Models
Visual Model 1
Question: A customer performs one of each service during a month. What is the total in fees?
| Service | Fee |
|---|---|
| Check deposit | $0.25 |
| Wire transfer | $15.00 |
| ATM withdrawal (out-of-network) | $2.50 |
| Monthly account fee | $8.00 |
- A. \($25.00\)
- B. \($27.50\)
- C. \($26.00\)
- D. \($25.75\)
Why it works: Total fees \(= 0.25 + 15.00 + 2.50 + 8.00 = $25.75\).
Answer: \($25.75\)
Visual Model 2
Question: What is the tip amount if the customer leaves an \(18\%\) tip on a \($50\) bill?
- A. \($7.00\)
- B. \($8.50\)
- C. \($9.00\)
- D. \($10.00\)
Why it works: Tip \(= 0.18 \times 50 = $9.00\). The question asks for the tip amount, not the total bill.
Answer: \($9.00\)
Worked Examples
Example 1
Question: If a diner leaves a \(25\%\) tip on a \($60\) bill, what is the total amount paid?
- A. \($69\)
- B. \($72\)
- C. \($75\)
- D. \($85\)
- Tip: \(0.25 \times 60 = $15\).
- Total amount paid: \(60 + 15 = $75\).
Answer: \($75\)
Example 2
Question: If a customer makes \(10\) withdrawals per month, which bank is cheaper?
- A. Bank A
- B. It depends on the withdrawal amount
- C. They cost the same
- D. Bank B
- Bank A: \(5 + (0.50 \times 10) = 5 + 5 = $10\).
- Bank B: \($8\).
- Bank B is cheaper at $8.
Answer: Bank B
Example 3
Question: A restaurant bill is \($45\). Marcus leaves an \(18\%\) tip. How much is the tip?
- A. \($6.75\)
- B. \($14.40\)
- C. \($10.80\)
- D. \($8.10\)
- Tip amount \(= 0.18 \times 45 = $8.10\).
Answer: \($8.10\)
Real-World Word Problems
Problem 1
Question: A restaurant charges a \(2.5\%\) service fee in addition to the bill. If a diner's meal costs \($80\), what is the service fee?
- A. \($20.00\)
- B. \($2.50\)
- C. \($8.00\)
- D. \($2.00\)
Why it works: Service fee \(= 0.025 \times 80 = $2.00\).
Answer: \($2.00\)
Problem 2
Question: An online store deducts a \(3\%\) processing fee from seller payments. If a seller receives payment for items totaling \($1,000\), how much is deducted as a fee?
- A. \($15\)
- B. \($25\)
- C. \($30\)
- D. \($100\)
Why it works: Processing fee \(= 0.03 \times 1000 = $30\).
Answer: \($30\)
Common Mistakes
- Rushing before identifying what the numbers represent.
- Choosing an operation that does not match the situation.
- Dropping labels, units, or context from the answer.
- Skipping the estimate or reasonableness check.
Strategy Tips
- Underline the question being asked.
- Use a model before jumping to computation.
- Write an equation that matches the story or picture.
- Explain the final answer in a sentence.
Practice Questions
Question 1
A waiter receives a \($12\) tip on a \($60\) bill. What percentage tip did the customer leave?
- A. \(15\%\)
- B. \(18\%\)
- C. \(20\%\)
- D. \(25\%\)
Question 2
A sales associate earned \($150\) in commission on \($2,500\) worth of sales. What is the commission rate?
- A. \(4\%\)
- B. \(5\%\)
- C. \(6\%\)
- D. \(8\%\)
Question 3
A car salesman earns \($1,000\) commission on a \($25,000\) vehicle sale. What is his commission rate?
- A. \(2\%\)
- B. \(3\%\)
- C. \(4\%\)
- D. \(5\%\)
Question 4
A pizza delivery service adds a \($2.50\) delivery fee to orders under \($25\) and a \($4.00\) fee to orders \($25\) or more. What is the total cost of a \($32\) order with the delivery fee?
- A. \($32.00\)
- B. \($34.50\)
- C. \($36.00\)
- D. \($36.40\)
Question 5
A freelance designer charges clients a \(15\%\) design fee on top of materials costs. If materials cost \($200\), what is the total cost to the client?
- A. \($215\)
- B. \($260\)
- C. \($245\)
- D. \($230\)
Question 6
A bank charges a \(3\%\) fee on ATM withdrawals outside its network. If a customer withdraws \($300\) from an out-of-network ATM, what is the ATM fee?
- A. \($6.00\)
- B. \($15.00\)
- C. \($12.00\)
- D. \($9.00\)
Full Answer Explanations Click to show all answers and explanations
Question 1
Answer: \(20\%\)
Tip percentage \(= \frac{12}{60} = 0.20 = 20\%\).
Question 2
Answer: \(6\%\)
Commission rate \(= \frac{150}{2500} = 0.06 = 6\%\).
Question 3
Answer: \(4\%\)
Commission rate \(= \frac{1000}{25000} = 0.04 = 4\%\).
Question 4
Answer: \($36.00\)
Order is \($32 \geq $25\), so delivery fee is \($4.00\). Total \(= 32 + 4 = $36.00\).
Question 5
Answer: \($230\)
Design fee \(= 0.15 \times 200 = $30\). Total \(= 200 + 30 = $230\).
Question 6
Answer: \($9.00\)
ATM fee \(= 0.03 \times 300 = $9.00\).
Connection to Standards
This lesson supports Grade 7 math expectations for reasoning, modeling, problem solving, and explaining answers clearly. It connects classroom skills to the kind of questions students see on state math assessments.
Summary
Tips, Commissions, and Fees becomes easier when students connect the question to a model, use clear steps, and explain why the answer fits.
GOLDEN RULE
Understand the model before choosing the operation.
