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5-16-13 EOG Review Day #4 Percents

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Get your calculator.

5-16-13 EOG Review Day #4 Percents

OBJECTIVE: Analyze proportional relationships and use them to solve real-world and mathematical problems.

- 1

c

Check homework from textbook.

Collect “Daffynition Decoder”

Make sure you have turned in

Probability handout with drawing.

DRAW IN NOTEBOOK

FRACTION TO DECIMAL TO PERCENT

F

÷

_%_

100

P

D

X 100

Example

FRACTION TO DECIMAL TO PERCENT

F

0.75

÷

4 3.00

_%_

100

P

D

.75

75%

X 100

2

3

1

3

33 %

66 %

1

10

Benchmark Percents can help you estimate!

You can use fractions to estimate the percent of a number by choosing a fraction that is close to a given percent.

Another way to estimate percents is to find 1% or 10% of a number. You can do this by moving the decimal point in the number.

Common percents & their fraction equivalents:

10%

20%

25%

50%

1

4

2

3

1

5

1

3

1

2

To find percent of a number, write and solve a proportion.

You can also find the percent of a number by using decimal equivalents.

Graphic Organizer for percent problems using proportions.

Fold paper to make two doors.

IS

OF

%_

100

=

PERCENT

WHOLE

PART

How can you rearrange the

equation to solve for each

variable?

PART

÷

Percent

Whole

X

6-3

Percent of a Number

Course 2

Example 1:

Find the percent of each number.

A. 30% of 50

30

100

n

50

=

Write a proportion.

Set the cross products equal.

30 · 50 = 100 · n

PERCENT

WHOLE

1,500 = 100n

Multiply.

1,500

100n

Divide each side by 100 to isolate

the variable.

=

FIND THE PART

100

100

15 = n

30% of 50 is 15.

Workbook page 51

SOLVE

What is 20% of 80?

Find the part.

16 is what percent of 80? Find the percent.

What is 20% of what number is 16?

Find the whole.

PERCENT

OF

INCREASE

MAKE 3 DOORS

PERCENT OF

CHANGE

PERCENT

OF

DECREASE

If the original amount goes up, it is a percent of increase

Find the % of increase

From 100 to 114

The percent of change is the amount, stated as a percent, that a number increases or decreases from the original amount.

Amount of change

Original amount

% of change =

If the original amount goes down, it is a percent of decrease

Find the % of decrease

From 1,500 to 1,416

The following slides are percent problems that we will solve with using an equation.

Make a table like the one below. We will fill in as we go.

EXIT TICKET

Quick draw

Solve all problems and turn your paper in for a quiz grade as an exit ticket.

- What form should all percent equations follow?
_________ X _________ = _________

*Percent must be in decimal form

Percent*

Whole

Part

- 12 is 40% of what number?
_________ X _________ = _________

0.4

Part

12

Percent

Whole

x

÷ 0.4

÷ 0.4

- 54 is what percent of 90?
_________ X _________ = _________

Percent

Whole

Part

x

90

54

÷ 90

÷ 90

60%

- 15% of what number is 18?
_________ X _________ = _________

Percent

Whole

x

Part

18

0.15

÷ 0.15

÷ 0.15

- What percent of 110 is 88?
_________ X _________ = _________

Percent

x

Whole

88

Part

110

÷ 110

÷ 110

80%

- 5% of 120 is what number?
_________ X _________ = _________

Whole

x

Part

0.05

Percent

120

- 12 is what percent of 150?
_________ X _________ = _________

Percent

x

Whole

Part

12

150

÷ 150

÷ 150

8%

- What is 6% of 400?
_________ X _________ = _________

Percent

Part

x

400

Whole

0.06

- What is 110% of 50?
_________ X _________ = _________

Whole

Part

x

Percent

1.10

50

Solve the following problems with an equation and with a tape diagram. You

may work with a partner.

A sweater is marked down 33% off the original price. The original price was $37.50. What was the sale price of the sweater before tax?

2. A shirt is on sale for 40% off. The sale price is $12. What was the original price? What was the amount of the discount?

3. A salesperson set a goal to earn $2,000 in May. He receives a base salary of $500 per month as well as a 10% commission for all sales in that month. How much merchandise will he have to sell to meet his goal?

33% of $37.50 = $12.38

The sale price is 60% of the original cost.

12 ÷ 60% = $20

$500 + (10%)(sales) = $2,000

sales = $15,000

4. After eating at a restaurant, Mr. Jackson's bill before tax is $52.50. The sales tax rate is 8%. Mr. Jackson decides to leave a 20% tip for the waiter based on the pre-tax amount. How much is the tip Mr. Jackson leaves for the waiter? How much will the total bill be, including tax and tip? Express your solution as a multiple of the bill.

5. Stephanie paid $9.18 for a pair of earrings. This amount includes a tax of 8%. What was the cost of the item before tax?

Tip 20% of $52.50 = $10.44

Tax 8% of $52.50 = $4.20

Bill + Tip + Tax = Total Bill

$52.50 + $10.44 + $ 4.20 = $67.14

Earrings + Tax = $9.18

108% of some number = $9.18

$8.50 is the cost of the item before tax

1. Find the change in fund raising that has gone from $400 last year to $650 this year.

3. David is 11 years old and growing quickly. In 6 months he has grown from 5’4” to 5’8” tall. Find the percent of increase in David’s height in the last 6 months.

Homework: HANDOUT