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(7) Lesson 2.4
1. Course 2, Lesson 2-4
Find each number. Round to the nearest tenth if necessary.
1. What percent of 80 is 25?
2. What number is 30% of 80?
3. 30 is 40% of what number?
4. $6 is what percent of $42?
5. What number is 0.2% of 4?
6. Joseph saves 30% of his allowance each week. If he saves $24
in 5 weeks, how much allowance does Joseph receive each
week?
8. Ratios and Proportional Relationships
Course 2, Lesson 2-4
Type Example Proportion
Find the Percent 3 is what percent of 6? 3 = n 6
Find the Part What number is 50% of 6 p = 0.5 6
Find the Whole 3 is 50% of what number? 3 = 0.5 w
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Need Another Example?
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Step-by-Step Example
1. What number is 12% of 150?
Do you need to find the percent, part, or whole? part
0.01 150 = 15Estimate
Write the percent equation. 12% = 0.12p = 0.12 150
part = percent whole
p = 18 Multiply.
So, 18 is 12% of 150.
18 is close to the estimate of 15. So, the answer is reasonable.
You can also check your answer using the percent proportion.
Check7
18 100 = 150 12
1,800 = 1,800
?
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Need Another Example?
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Step-by-Step Example
2. 21 is what percent of 40?
Do you need to find the percent, part, or whole? percent
Estimate
Write the percent equation.21= n 40
part = percent whole
Divide each side by 40.
0.525 = n
So, 21 is 52.5% of 40.
Check
Simplify.
7 52.5% 50%
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Need Another Example?
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Step-by-Step Example
3. 13 is 26% of what number?
Do you need to find the percent, part, or whole? whole
Estimate
Write the percent equation. 26% = 0.2613 = 0.26 w
Divide each side by 0.26.
50 = w
So, 13 is 26% of 50.
Check
Simplify.
7
of 48 = 12
part = percent whole
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Need Another Example?
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Step-by-Step Example
4. A survey found that 25% of people aged 18-24 gave up their home
phone and only use a cell phone. If 3,264 people only use a cell
phone, how many people were surveyed?
Words
Variable
Equation
3,264 people is 25% of what number of
people?
Let w represent the number of people.
3,264 = 0.25 w
3,264 = 0.25 w Write the percent equation. 25% = 0.25
Divide each side by 0.25. Use a calculator.
Simplify.13,056 = w
About 13,056 people were surveyed.
16. Answer
Need Another Example?
A survey found that 36% of people preferred
comedies over action movies. If 450 people
prefer comedies, how many people were
surveyed?
1,250 people
17. How did what you learned
today help you answer the
HOW can percent help you understand
situations involving money?
Course 2, Lesson 2-4
Ratios and Proportional Relationships
18. How did what you learned
today help you answer the
HOW can percent help you understand
situations involving money?
Course 2, Lesson 2-4
Ratios and Proportional Relationships
Sample answers:
• The percent equation can be used to solve situations
involving money.
19. Write a real-world problem
involving percent that can
be solved by using the
percent equation. Be sure
to include two of the three
elements needed to solve the
problem (part, percent, whole).
Ratios and Proportional RelationshipsRatios and Proportional Relationships
Course 2, Lesson 2-4