DoAssignment.ca

A1.1 · Compare the components of total earnings across occupations

Learn to compare the components of total earnings across occupations through clear examples and targeted practice.

Ontario Grade 11 Mathematics

Earning and Purchasing

MEL3E • Specific expectation A1.1

Two jobs can advertise pay in very different ways. One may pay by the hour, while another may offer a base wage plus commission. Commission is extra pay based on sales. To compare the jobs fairly, identify each pay component, calculate the earnings for the same period, and compare the totals. In this lesson, earnings means gross pay: money earned before deductions such as income tax. The focus is on comparing the parts that make up total earnings across occupations.

What you will learn

Identify the different components that can make up earnings in an occupation.
Compare earnings from two occupations using the same time period.
Use a calculator or spreadsheet to find and explain total earnings.

1. Notice how occupations pay

A pay component is one part of a worker’s earnings. Common components include hourly wages, salary, overtime pay, commission, tips, and bonuses. Not every occupation includes every component. A retail worker might earn an hourly wage and commission. A server might earn an hourly wage and tips. A salaried office worker might receive a regular salary and a bonus.

Hourly wages are based on the number of hours worked. Salary is a set amount for a stated period, such as a year or month. Overtime pay is extra pay for eligible hours beyond a regular schedule. Commission depends on sales or other results. Tips are amounts customers choose to give for service. A bonus is additional pay, often linked to results or a workplace decision.

Before comparing jobs, read the pay information carefully. Check whether an amount is hourly, weekly, monthly, or yearly. Also check what the amount includes. A yearly salary should not be compared directly with one week of hourly wages. Put both amounts into the same time period, such as one week or one year.

This comparison is about earnings, not every feature of a job. For example, work hours and job duties may matter when choosing a job, but they are not pay components. Do not count a possible bonus, commission, or tip as guaranteed unless the information says it is guaranteed.

A pay component is one part of total earnings.
Check the time period and what each pay amount includes.
Compare gross earnings for the same length of time.

2. Find total earnings from the components

To find total earnings for a period, add the pay components that apply during that period. For hourly pay, multiply the hourly rate by the hours worked. Then add any other earnings, such as overtime pay, commission, tips, or a bonus. Keep each amount in the same time period.

For example, if a worker earns an hourly wage and tips in one week, first find the wage for the hours worked. Then add the tips for that week. If a worker earns a base amount plus commission, calculate the commission for the same week and add it to the base amount. This makes the total easier to compare with another job.

A calculator is useful for checking multiplication and addition. A spreadsheet can keep the components visible. Put each component in its own row, enter the amount, and use the total row to add them. Keeping the parts separate helps you notice missing information and explain why one total is higher.

If an amount is unknown, do not invent it. You can compare the known components and say that the total depends on the missing amount. This is especially important for tips, commissions, and bonuses that may change from one period to another.

\text{total earnings} = \text{component 1} + \text{component 2} + \cdots

Calculate each component for the chosen period before adding.
Keep uncertain or missing amounts separate from confirmed amounts.
A calculator or spreadsheet can help organize and check the arithmetic.

3. Compare the totals and the mix of pay

A useful comparison looks at both the total and the components that create it. One job may have a larger guaranteed base amount. Another may have lower base pay but more commission or tips. The larger total for one sample week does not prove that it will be larger every week.

Use the same time period and the same kind of information for both occupations. If one total includes tips but the other does not include a possible bonus, point that out. A fair comparison does not silently treat uncertain pay as certain. You can describe a total as an estimate when it depends on amounts that may change.

After calculating, explain the result in plain language. Name the occupation with the higher total for the period, state the difference, and identify which components made up each total. The difference is found by subtracting the smaller total from the larger total. This tells how much more the larger total is for that period.

The component mix matters too. Someone comparing occupations may want to know whether earnings mainly come from a set wage or from amounts that can vary. Report what the information shows, without claiming that variable pay will always be high or low.

\text{difference} = \text{larger total} - \text{smaller total}

Compare like with like: same time period and clear component details.
State whether a total is confirmed or depends on changing pay.
Explain both which total is higher and how its components differ.

4. Use a table to make the comparison clear

A table can show each occupation’s components side by side. First label the time period. Then list the components and their amounts. Add the components for each occupation and compare the totals. A blank cell or a note such as “not provided” is better than guessing.

The table below uses a one-week period. The figures are sample amounts for practice, not a promise of what a worker will earn. Notice that the two occupations have different pay mixes, so the labels matter as much as the totals.

A side-by-side table makes pay components easier to compare.
Label sample amounts and the time period clearly.
Do not assume an unlisted component is included.

Sample weekly earnings comparison

Occupation	Hourly wages or salary	Other component	Weekly total
Retail sales worker	CAD 540	CAD 120 commission	CAD 660
Warehouse worker	CAD 672	None listed	CAD 672

Worked example

Example 1: Retail sales worker and warehouse worker

For one week, a retail sales worker earns CAD 18 per hour for 30 hours and CAD 120 in commission. A warehouse worker earns CAD 21 per hour for 32 hours, with no additional pay listed. Compare their weekly total earnings.

Find the retail worker’s hourly wages
Hourly wages equal the hourly rate multiplied by hours worked. This gives the wage component for the week.
$18 \times 30 = 540$
Add the commission
Commission is a separate earnings component, so add the stated weekly commission to the hourly wages.
$540 + 120 = 660$
Find the warehouse worker’s wages
Use the warehouse hourly rate and the hours worked. No other component is listed, so do not add one.
$21 \times 32 = 672$
Compare the weekly totals
Subtract the smaller total from the larger total. This shows the difference for this week.
$672 - 660 = 12$

Answer: The retail sales worker’s total is CAD 660 for the week: CAD 540 in hourly wages and CAD 120 in commission. The warehouse worker’s total is CAD 672 in hourly wages. The warehouse worker earns CAD 12 more in this sample week.

Check: The totals use the same one-week period. The retail total includes both listed components; the warehouse total uses only the listed hourly wages.

Worked example

Example 2: Server and salaried office assistant

For a sample week, a server earns CAD 16 per hour for 25 hours and receives CAD 95 in tips. An office assistant has a weekly salary of CAD 620 and a CAD 40 bonus for that week. Compare their total earnings.

Calculate the server’s hourly wages
Multiply the hourly wage by the number of hours worked to find the wage component.
$16 \times 25 = 400$
Add the server’s tips
The tips are stated for the same week, so add them to the weekly wages.
$400 + 95 = 495$
Add the office assistant’s components
The salary amount and bonus both apply to this week. Add them to find the weekly total.
$620 + 40 = 660$
Find the difference
Compare the totals by subtracting the server’s total from the office assistant’s total.
$660 - 495 = 165$

Answer: The server’s total is CAD 495 for the week: CAD 400 in hourly wages and CAD 95 in tips. The office assistant’s total is CAD 660: CAD 620 in salary and CAD 40 in bonus. The office assistant earns CAD 165 more in this sample week.

Check: Both totals cover one week. The server’s tips may vary, so this comparison describes the sample week and does not guarantee the same result in another week.

Common mistakes and how to avoid them

Comparing a weekly amount with a yearly amount.

Correction: Convert the information to the same time period before comparing.

Adding commission, tips, or a bonus that was not provided.

Correction: Use only stated amounts. Mark missing or uncertain components clearly.

Reporting only the total without naming its components.

Correction: Show what makes up each total so the pay mix is clear.

Saying a job always pays more because it had a higher total in one sample period.

Correction: Limit the conclusion to the period and amounts shown, especially when pay can change.

Lesson summary

Total earnings can include several components, such as wages, salary, overtime, commission, tips, and bonuses.
Calculate each component for the same period, then add the amounts.
Compare both the total and the components that make it up.
Describe uncertain pay honestly and do not treat it as guaranteed.

Check your understanding

Question 1

A worker earns CAD 19 per hour for 20 hours and CAD 35 in tips. What are the worker’s total earnings for that period?

CAD 380
CAD 415
CAD 435
correctIndex: 1, "explanation": "The hourly wages are CAD 380, found by multiplying CAD 19 by 20 hours. Add CAD 35 in tips to get CAD 415."

Show answer and explanation

CAD 415

The hourly wages are CAD 380, found by multiplying CAD 19 by 20 hours. Add CAD 35 in tips to get CAD 415.

Question 2

An occupation lists a weekly salary of CAD 590 and a possible bonus that is not guaranteed. What can you safely report as the confirmed weekly amount?

CAD 590
CAD 590 plus any bonus amount
No amount can be reported
correctIndex: 0, "explanation": "CAD 590 is the stated salary. Since the bonus is not guaranteed and its amount is not given, do not include it in the confirmed total."

Show answer and explanation

CAD 590

CAD 590 is the stated salary. Since the bonus is not guaranteed and its amount is not given, do not include it in the confirmed total.

Question 3

One job pays CAD 610 for a week and another pays CAD 575 for the same week. How much higher is the first total?

CAD 25
CAD 35
CAD 45
correctIndex: 1, "explanation": "Subtract the smaller total from the larger total: CAD 610 minus CAD 575 is CAD 35."

Show answer and explanation

CAD 35

Subtract the smaller total from the larger total: CAD 610 minus CAD 575 is CAD 35.

Key terms

Pay component: One part of a worker’s earnings, such as hourly wages, commission, or tips.
Gross pay: Earnings before deductions are taken off.
Commission: Pay based on sales or another stated result.
Salary: A set amount of pay for a stated period.
Overtime pay: Extra pay for eligible hours beyond a regular schedule.

Continue through MEL3E

View the complete Ontario Grade 11 Mathematics learning path

About this lesson

Published by DoAssignment. This AI-assisted lesson follows Ontario Grade 11 Mathematics (MEL3E), expectation A1.1. It is a study resource, not an official curriculum publication.

Official curriculum reference

Report a correction or ask a question