Today’s Lesson:

What: Percentage applicationsWhy: To solve several different types of percentage problems, including consumer applications, using the percent proportion formula.

% part “is”

100 whole “of”

=

We can use the above formula to solve ANY type of percentage problem. WHY??? Because, using this formula allows us to find the missing percentage, find the missing part, or find the missing _________________________.

We place ____________ in the correct position, according to what we need to find.

The Percent proportion formula . . .

whole

x (variable)

How do we set the proportion up??? Like this . . .

5 out of 85 is what percent? =

Find 25% of 75: =

20 is 10% of what number? =

Solving for the percent . . .

Solving for the part . . .

Solving for the whole . . .

% part “is”

100 whole “of”

=

% part “is”

100 whole “of”

=

Real-Life Scenarios:

1) Collin scored an 88% on the test. If there were 40 total questions, how many did Collin answer correctly?

x ≈ 35 questions

% part “is”

100 whole “of”

=

2) Jane scored a 94% on the test. If she answered 47 questions correctly, how many total questions were on the test?

x = 50 questions

% part “is”

100 whole “of”

=

3) On the Unit 8 Test, Holly got 40 questions correct out of 45 total questions. What was her percentage score?

x ≈ 89%

A consumer is someone who __________________________ goods/ services at a variety of stores/businesses.

Things for a consumer to consider are:

Taxes (_________ to the purchase)

Discounts (____________ from the purchase)

Tips (__________ to the purchase)

Using the percent proportion formula--tax, discount, and tip problems always involve finding the part out of the total ! So, x will always be in the _________ position!

Consumer applications . . .

purchases

add

subtract

add

part

Store Scenarios:

1) The sub-total (original price) of your purchase is $54.50. There is a 30% discount. What is the sale price?

Tip: Add Discount: Subtract

Tax: Add

$38.15

% part “is”

100 whole “of”

=

Step 1: Find the discount using the % proportion.

Step 2: Subtract the discount!

Sale price means price AFTER the

discount, so this is a TWO-STEP

problem.

=

1,635 = 100x100100x = $16.35

Step 1: Step 2: Subtract discount from original amount!

$54.50 - $16.35 = $38.15

2) The sub-total (original price) of your purchase is $98.25. There is a 5% sales tax. What is the tax only?

% part “is”

100 whole “of”

=Tip: Add

Discount: SubtractTax: Add

This is asking for tax only, so it

just a ONE-STEP problem!

$4.91

3) The sub-total (original price) of your purchase is $74.80. The sales tax is 5%. What is your total?

Tip: Add Discount: Subtract

Tax: Add

$78.54

% part “is”

100 whole “of”

=

This is asking for the TOTAL, so it

is a 2-step problem!

Restaurant scenarios:

1) Your bill at a restaurant is $26.00. You want to leave a 15% tip. How much is the tip?

Tip: Add Discount: Subtract

Tax: Add

$3.90

% part “is”

100 whole “of”

=

This is asking for the TIP only, so it is a ONE-STEP

problem!

Tip: Add Discount: Subtract

Tax: Add

5) Your bill at a restaurant is $44.00. You want to leave an 18% tip. How much is the total bill?

$51.92

This is asking for the TOTAL, so it is a TWO-STEP

problem!

% part “is”

100 whole “of”

=

END OF LESSON

The next slides are student copies of the notes for this lesson. These notes were handed out in class

and filled-in as the lesson progressed.

NOTE: The last slide(s) in any lesson slideshow represent the homework assigned

for that day.

Math-7 NOTES DATE: ______/_______/_______What: percentage applications

Why: To solve several different types of percentage problems, including consumer applications, using the percent proportion formula.

NAME:

% part “is”

100 whole “of”

=

We can use the above formula to solve ANY type of percentage problem. WHY??? Because, using this formula allows us to find the missing percentage, find the missing part, or find the missing _________________________.

We place _________ in the correct position, according to what we need to find.

How do we set the proportion up??? Like this . . .

5 out of 85 is what percent? =

Find 25% of 75: =

20 is 10% of what number? =

The Percent proportion formula . . .

Solving for the percent . . .

Solving for the part . . .

Solving for the whole . . .

% part “is”

100 whole “of”

=

Real-Life Scenarios: 1) Collin scored an 88% on the test. If there were 40 total

questions, how many did Collin answer correctly?

2) Jane scored a 94% on the test. If she answered 47 questions correctly, how many total questions were on the test?

3) On the Unit 8 Test, Holly got 40 questions correct out of 45 total questions. What was her percentage score?

A consumer is someone who __________________________ goods/ services at a variety of stores/businesses.

Things for a consumer to consider are:

Taxes (_________ to the purchase)

Discounts (____________ from the purchase)

Tips (__________ to the purchase)

Using the percent proportion formula--tax, discount, and tip problems always involve finding the part out of the total ! So, x will always be in the _________ position!

Consumer applications . . .

% part “is”

100 whole “of”

=

Store and Restaurant Scenarios:

1) The sub-total (original price) of your purchase is $54.50. There is a 30%

discount. What is the sale price?

Tip: Add Discount: Subtract

Tax: Add

2) The subtotal (original price) of your purchase is $98.25. There is a 5% sales tax. What is the tax only? (Hint: one-step problem . . .)

3) The sub-total (original price) of your purchase is $74.80. The sales tax is 5%. What is your total? (Hint: two-step problem . . .)

4) Your bill at a restaurant is $26.00. You want to leave a 15% tip. How much is the tip? (Hint: one-step problem . . .)

5) Your bill at a restaurant is $44.00. You want to leave an 18% tip. How much is the total bill (after the tip)? (Hint: two-step problem . . .)

Use the Percent Proportion Formula to answer the following (some do not work out evenly– round to the nearest tenth unless otherwise specified) :

Math-7 homework“Percent Proportions”

DATE: ______/_______/_______NAME:____________________________________________________________________________

1) Bridget scored a 95% on the test. If there were 40 questions, how many did she answer correctly?

2) Zack scored a 92% on the test. If he answered 23 questions correctly, how many total questions were on the test?

3) Linda got 33 questions correct out of 40 total questions on the test. What is her percentage score (round to the nearest whole percent)?

4) Nate had $50 in his piggy bank. He took $22 out in order to buy some headphones. What percent of his original total did he take out?

5) Sandy withdrew 34% of her savings. If she withdrew $120, how much was in her savings to begin with?

=

“consumer applications”Read the situations below, identify what type of consumer math (tax, tip, discount) and tell whether the final price would increase (you would add) or the price would decrease (you would subtract):

Situation Type of problem Increase or Decrease?

1. Leigh just got her haircut and styled. She paid the price, and then paid her stylist an additional 20%.

   

2. Hector purchased a new video game at Target for 20% off the original price.

   

3. Ms. Yorty purchased new pencils for all her students. She was charged an additional 4.5% on top of the price of the pencils.

   

Solve:4. The original price of a jacket is

$74.00. What is the total cost of the jacket if it is on sale for 30% off?

5. James and his family went out to dinner. Their bill was $48.50. If they gave a 20% tip, what was their total?

6. The sub-total at Target is $88.90. If there is a 6% sales tax, how much is the tax only?

7. Your family goes out to dinner, and the bill is $54.00. You offer to leave the tip. If you leave 15%, how much did you leave?