Strategy Focus
5 Make a Table
Lesson
MATH FOCUS: Rates, Ratios, and Direct Variation
Learn
Read the Problem Ms. Jacobs, Mr. Kang, and Ms. Lopez decide to start a business
together. They invest $3,000, $4,000, and $5,000 respectively.
They decide that they will share the profits in the same ratio as
their investments. How much money will each of them earn if their
profits are $44,000?
Restate Reread the problem. As you read, answer these questions
about the situation.
What is the problem about?
●
What are you asked to find?
●
What do you know about how they will share profits?
●
Mark
the Text
Search for Information Look for numbers and relationships in the given information.
Record What do you know that will help you solve the problem?
Ms. Jacobs invested
Mr. Kang invested
Ms. Lopez invested
Their total profits are
.
.
.
.
© Triumph Learning. OT116eIW5
You can use this information to choose a problem-solving strategy.
54 Unit 2 Using Proportional Reasoning
Decide What to Do
You know 3 investment amounts and the total profit.
Ask How can I find how much profit each investor earned?
I can use the strategy Make a Table. I can record the initial investment
for each person. I can find the sum of their investments.
●
Then I can find how many times greater their profit is than their
investment. Finally, I can find the amount earned by each investor.
●
Use Your Ideas
Step 1
Find the total investment.
Investment
Ms. Jacobs
$3,000
Mr. Kang
$4,000
Ms. Lopez
$5,000
Multiplier
Total
Step 2
$44,000
Divide the profit by the total amount invested. This is
your multiplier.
$44,000 ÷
Step 3
Profit
=
Since they share the profits in the same ratio as their
investment, use the multiplier to find how much profit each
investor earned. Round to the nearest cent.
$3,000 ×
=
$4,000 ×
=
$5,000 ×
=
So Ms. Jacobs earned
, Mr. Kang earned
and Ms. Lopez earned
Review Your Work
The multiplier is
used because it
keeps the shares
of the profit in
the same ratio
to the total as
the investment.
.
© Triumph Learning. OT116eIW5
Check that the sum of the individual profits is equal to the total profit.
Explain Dawn says the three investors should earn $13,666.67,
$14,666.66, and $15,666.67. Do you agree with Dawn? Explain.
55