1. Unit 6. Day 12.

2. Original Amount % Change New Amount
Example A: The price of a $8 movie ticket increased to $10. Find the percent increase? 8
$10 ?
Example B: A $400 suit is on sale with a 30% discount. What is the sale price?
$400 ?
30%
Example C: A mechanic charges $44 per hour after increasing his rate by 10%. What was his original rate?
$44 ?
10%

3. What is the “new” percent?
Example A: The price of a $8 movie ticket increased to $10. Find the percent increase? 8
increase
100 𝑥 2
increase
new = 10
new =
𝑥 100
original 8
original
original 8
original 8𝑥 =
200
What is the “new” percent? 8 8 𝑥 =
125
100 25
200 8
100 4 𝑥 25 = = =
amount of increase 2 =
0.25
% increase =
original amount
25%

4. What is the “new” percent?
Example B: A $400 suit is on sale with a 30% discount. What is the sale price? 𝑥 70 𝑥
discount
30 100 =
discount
new
new =
400
original
100
400
original
original
original
12000 =
100 𝑥
100𝑥
100
100
28000 =
100𝑥
120 = 𝑥
100
100
280 = 𝑥
What is the “new” percent?
$ 4 0 0 −
$ 1 2 0
2 8 0

5. What is the “new” percent?
Example C: A mechanic charges $44 per hour after increasing his rate by 10%. What was his original rate?
What is the “new” percent?
increase
new
110 10 44
new
increase =
100 𝑥
original
100 44
original
= 𝑥
11𝑥 =
440 11 11 𝑥 = 40

6. Original Amount % Change New Amount
Example D: Julie’s grade decreased from 88 to 64. Find the percent decrease? 88
$64 ?
Example E: Mr. Jordan bought a new iPhone in GA ($650) when we went to adopt Winston. GA has a 7% sales tax. What was the final price?
$650 ? 7%
Example F: A pair of shoes costs $72 during a 40% sale. What is the original price for the shoes?
$72
40% ?

7. What is the “new” percent?
Example D: Julie’s grade decreased from 88 to 64. Find the percent decrease? 88
decrease
100 𝑥 24
decrease
new
100 𝑥 64
new = =
original 88
original
original 88
original
What is the “new” percent?
88𝑥 =
2400
100.00 88 88 𝑥 − =
72. 72
27. 27 = =
27. 27
27. 27 𝑥 =
amount of decrease = =
% decrease …
original amount 88 % − 64 24 24

8. What is the “new” percent?
Example E: Mr. Jordan bought a new iPhone in GA ($650) when we went to adopt Winston. GA has a 7% sales tax. What was the final price? =
107 𝑥 𝑥
tax
7 100
New total
tax
New total =
100
650
Original phone
650
originalphone
phone
phone
7 650
4550 =
100 𝑥
100𝑥
100
100
69550 =
100𝑥
455 10
100
100 = 𝑥
695.50 = 𝑥
45.5=𝑥
What is the “new” percent?
$ 6 5 0 + $

9. What is the “new” percent?
Example F: A pair of shoes costs $72 during a 40% sale. What is the original price for the shoes?
discount
new 60 40 72
discount
new =
What is the “new” percent?
100 𝑥
original
100 72
original
= 𝑥 3𝑥 =
360 3 3 𝑥 =
120