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Test #1: The results are in Last Khan Academy Topic Review Review for Test #2 Practice: Solving Percentage Problems CW 3.3 Today: Jan. 28
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Page 1: January 28, 2016

Test #1: The results are in Last Khan Academy Topic

Review Review for Test #2

Practice: Solving Percentage Problems

CW 3.3

Today:Jan. 28

Page 2: January 28, 2016

500

Page 3: January 28, 2016

3. What is 70% of ?2. What percent of 28 is ?

1. Order from least to greatest: 2/8, 2.8%, 8/2, .28

4a. How do you write the product of Four Hundred increased bySeven Percent?

400 + .7

400 • 0.07400

• .7400 •1.7

400 •1.074b. Wait before

answering, pls....Using mental math, what is the product of 400 increased by 7%

Review for Test 2: Next twosday, 2/02

Page 4: January 28, 2016

Solving Percent Problems

A common saying among carpenters, plumbers, electricians, mechanics, and others is; "You have to use the right tool for the job."It is no different here. The goal is to load your toolbox with a variety of tools to solve the different types of problems you'll be faced with.Solving percentage problems is a perfect example. Let's review the tools you already have specific to percent problems.

Page 5: January 28, 2016

What are your Options?

2. The percent change formula:

D. Finding original price after decrease (discount). Taken out of the toolbox

when?

1. The four types of problems involving price increases or decreases (mark-ups or mark-downs) when the percent is givenA. Original price or number is increased by a

given percent. B. Original price or number is decreased by a certain percent.C. Finding original price after increase (mark-up).

And Lastly,3. The percent proportion. The Swiss Army Knife of the toolbox; Used for all other percent problems.

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All you need to know to determine the correct formula:

D. Finding original price after decrease (discount).

1. When multiplying by a number less than 1, (i.e. the compliment) the result is a smaller number.2. When dividing by a number less than 1, (i.e. the compliment) the result is a larger number.

A. Original price or number is increased by a given percent.B. Original price or number is decreased by a certain percent.C. Finding original price after increase (mark-up).

Let's work some

problems...

Page 7: January 28, 2016

The actual increase = 11.7 – 7.8= 3.9 lb.

The percentage increase =3.97.8 = 50%

What is the baby’s percentage increase in weight?

A baby weighs 7.8 lb. at birth. After 6 weeks the baby’s weight has increased to 11.7 lb.

What Kind of Problem?

Page 8: January 28, 2016

Petra deposited $250 into a bank account. After one year, she received $30 in interest and now had $280 in the account. What percent interest did she receive from the bank?

28 70

amount of increaseoriginal amount

When Jim was exercising, his heart rate went from 70 beats per minute to 98 beats per minute. What was the percent increase?

What percent is 28 of 70?

98 – 70 = 28

First find the amount of change.

What Kind of Problem?

40%

Page 9: January 28, 2016

What was the original price of the jeans?

I bought some jeans on sale. They were 15% off and I only paid

$25.50 for them.

Solving Percent Problems

Page 10: January 28, 2016

Solving Percent Problems

This Easter, you are hosting a party for 25 guests. Each person will receive a whole roasted chicken for dinner. If only 14 guests come to the party, what percent of the chicken will not be eaten?On a test with 80 questions, you answered 68 correctly. What was your percentage score?

On a recent test, you answered six questions incorrectly which resulted in a test grade of 92%A) Given the information above, What question are you going to be asked to solve?B) That's correct!! How many questions were on the test?

Page 11: January 28, 2016

The actual decrease = 25 –17 =$8

The percentage decrease =825 = 32%

All t-shirts: Were $25 now only

$17!

Solving Percent Problems

By what percent were they reduced?

Page 12: January 28, 2016

The entrance fee at an amusement park is $35. People over the age of 65 receive a 20% discount. A) What is the amount of the discount? B) How much do people over 65 pay?

A discount is a percent decrease. The original price is known, so we will multiply. The formula for a known price that has decreased, is… multiply by the compliment of the discount.

B) How much do people over 65 pay?

A) What is the amount of the discount?

$7.00$28.00

Solving Percent Problems

Q. What type of problem do we have? A.(A big one.)

Page 13: January 28, 2016

The wholesale cost of a DVD is $7. The markup is 85%.

A) What is the amount of the markup? B)What is the selling price?Method 1

A markup is a percent increase. So find $7 increased by 85%.

0.85(7) = 5.95

7 + 5.95 = 12.95

Find 85% of 7. This is the amount of the markup.

Add to 7. This is the selling price.

Subtract from 12.95. This is the amount of the markup.

The amount of the markup is $5.95. The selling price

is $12.95.

The selling price is 185% of the wholesale price, $7.00.

Find 185% of 7. This is the selling price.

Solving Percent Problems

A markup is a percent increase. The original price is known, so we will multiply. The formula for a known price that has increased, is…multiply by 1 + the decimal form of

the markup.

Page 14: January 28, 2016

Original Price: Price after

increase 1 + percent of

A pair of pants retails for $12.00. This is 50% above the wholesale cost. What is the wholesale cost?

$12.00.5

= $8.00

The formula to find the original price of an item that has been marked up is….

What type of problem is this?

Last Practice Problem

Page 15: January 28, 2016

3. 20 is 40% of what number?4. 36 is what percent of 30?

Page 16: January 28, 2016

Fractions/Decimals & Percent Unit Simplifying Fractions & Terms

GCF (by using prime factorization) Factoring

+, -, *, ÷ Fractions

Proportions, Ratios, Rates Unit Rates

Converting Between Fractions, Decimals & Percent % Problems: Solving for the part, whole

and percent Percent change Percent mark-up/mark-down

Test # 1

Test # 2

Test # 3

>Tomorrow

Page 17: January 28, 2016

14"

1. Find the length of side G2. Find the perimeters of both triangels A & X

A 12 oz. bottle orange juice costs $1.79. What is the

(rounded) unit cost?

Page 18: January 28, 2016

The ratio of games lost to games won for a baseball team is 3:5. The team has played 85 games. How many games did the team lose?

The ratio of games lost to games won for a baseball team is 3:5. The team has won 32 games. How many games did the team lose?

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To find the correct formula, ask yourself two questions:

1, Is the original price known? If yes, then A or B. If no, then C or D2. Did the price go up or down from the original? This will separate A from B & C from D

Page 22: January 28, 2016

A 12 oz. bottle orange juice drink is advertised as containing 5% orange juice. How many ounces of orange juice are in one bottle? x =

0.6

Page 23: January 28, 2016

Blah blah blah discounted 30%. Blah blah now $42.00. Blah Blah blah, find original price.

$42.00.7 =

$60.00

discounted priceCompliment of discount

percent

The formula to find the original price of an item that has been marked down is….

Type of problem?

Last Practice Problem