1. Percentage applications
Today’s Lesson:
What:
Percentage applications
Why:
To solve several different types of percentage problems, including consumer applications, using the percent proportion formula.

2. The Percent proportion formula . . .
% part “is”
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.
whole
x (variable)

3. Solving for the percent . . .
How do we set the proportion up??? Like this . . .
5 out of 85 is what percent?
𝒙 𝟏𝟎𝟎 = 𝟓 𝟖𝟓
Find 25% of 75:
𝟐𝟓 𝟏𝟎𝟎 = 𝒙 𝟕𝟓
20 is 10% of what number?
𝟏𝟎 𝟏𝟎𝟎 = 𝟐𝟎 𝒙
Solving for the percent . . .
Solving for the part . . .
Solving for the whole . . .
% part “is”
whole “of” =

4. Collin scored an 88% on the test. If
% part “is”
whole “of” =
Real-Life Scenarios:
Collin scored an 88% on the test. If
there were 40 total questions, how
many did Collin answer correctly?
x ≈ 35 questions

5. % part “is”
whole “of” =
Jane scored a 94% on the test. If she answered 47 questions correctly, how many total questions were on the test?
x = 50 questions

6. % part “is”
whole “of” =
On the Unit 8 Test, Holly got 40 questions correct out of 45 total questions. What was her percentage score?
x ≈ 89%

7. Consumer applications . . .
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!
purchases
add
subtract
add
part

8. Tip: Add
Discount: Subtract
Tax: Add
% part “is”
whole “of” =
Store Scenarios:
The sub-total (original price) of your
purchase is $ There is a 30%
discount. What is the sale price?
Sale price means price AFTER the discount, so this is a TWO-STEP problem.
Step 1: Find the discount using
the % proportion.
Step 2: Subtract the discount!
Step 1:
Step 2: Subtract discount
from original amount!
𝟑𝟎 𝟏𝟎𝟎 = 𝒙 𝟓𝟒.𝟓
$ $ = $38.15
1,635 = 100x
100
100
x = $16.35
$38.15

9. This is asking for tax only, so it just a ONE-STEP problem!
Tip: Add
Discount: Subtract
Tax: Add
% part “is”
whole “of” =
The sub-total (original price) of your
purchase is $ There is a 5% sales
tax. What is the tax only?
This is asking for tax only, so it just a ONE-STEP problem!
$4.91

10. This is asking for the TOTAL, so it is a 2-step problem!
Tip: Add
Discount: Subtract
Tax: Add
% part “is”
whole “of” =
The sub-total (original price) of your
purchase is $ The sales tax is 5%.
What is your total?
This is asking for the TOTAL, so it is a 2-step problem!
$78.54

11. This is asking for the TIP only, so it is a ONE-STEP problem!
Tip: Add
Discount: Subtract
Tax: Add
% part “is”
whole “of” =
Restaurant scenarios:
Your bill at a restaurant is $ You want to leave a 15% tip. How much is the tip?
This is asking for the TIP only, so it is a ONE-STEP problem!
$3.90

12. This is asking for the TOTAL, so it is a TWO-STEP problem!
Tip: Add
Discount: Subtract
Tax: Add
% part “is”
whole “of” =
5) Your bill at a restaurant is $ You
want to leave an 18% tip. How much is
the total bill?
This is asking for the TOTAL, so it is a TWO-STEP problem!
$51.92

13. 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.

14. Solving for the percent . . .
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:
The Percent proportion formula . . .
% part “is”
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?
𝒙 𝟏𝟎𝟎 = 𝟓 𝟖𝟓
Find 25% of 75:
𝟐𝟓 𝟏𝟎𝟎 = 𝒙 𝟕𝟓
20 is 10% of what number?
𝟏𝟎 𝟏𝟎𝟎 = 𝟐𝟎 𝒙
Solving for the percent . . .
Solving for the part . . .
Solving for the whole . . .

15. % part “is” 100 whole “of” = Real-Life Scenarios:
Collin scored an 88% on the test. If there were 40 total questions, how many did Collin answer correctly?
Jane scored a 94% on the test. If she answered 47 questions correctly, how many total questions were on the test?
On the Unit 8 Test, Holly got 40 questions correct out of 45 total questions. What was her percentage score?
Consumer applications . . .
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!

16. % part “is” 100 whole “of” = Tip: Add Discount: Subtract Tax: Add
Store and Restaurant Scenarios:
The sub-total (original price) of your purchase is $ There is a 30%
discount. What is the sale price?
2) The subtotal (original price) of your purchase is $ There is a 5% sales
tax. What is the tax only? (Hint: one-step problem . . .)
The sub-total (original price) of your purchase is $ The sales tax is
5%. What is your total? (Hint: two-step problem . . .)
Your bill at a restaurant is $ You want to leave a 15% tip. How much is
the tip? (Hint: one-step problem . . .)
Your bill at a restaurant is $ You want to leave an 18% tip. How much
is the total bill (after the tip)? (Hint: two-step problem . . .)

17. “Percent Proportions”
Math-7 homework
“Percent Proportions”
DATE: ______/_______/_______
NAME:____________________________________________________________________________
Use the Percent Proportion Formula to answer the following (some do
not work out evenly– round to the nearest tenth unless otherwise
specified) :
% = 𝑝𝑎𝑟𝑡 𝑤ℎ𝑜𝑙𝑒
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?
Sandy withdrew 34% of her savings.
If she withdrew $120, how much was in her savings to begin with?

18. “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:
The original price of a jacket is $ What is the total cost of the jacket if it is on sale for 30% off?
James and his family went out to dinner. Their bill was $ If they gave a 20% tip, what was their total?
The sub-total at Target is $ If there is a 6% sales tax, how much is the tax only?
Your family goes out to dinner, and the bill is $ You offer to leave the tip. If you leave 15%, how much did you leave?