Unit 6. Day 12.

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%

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%

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 30 400 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

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 11 10 = 44 𝑥 11𝑥 = 440 11 11 𝑥 = 40

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% ?

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 2400 88 1200 44 27. 27 = = 27. 27 27. 27 𝑥 = amount of decrease = = % decrease 0.272727… original amount 88 27. 27 % − 64 24 24

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 + $ 4 5 . 5 6 9 5 .5

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 3 5 = 72 𝑥 3𝑥 = 360 3 3 𝑥 = 120