Unit 6. Day 11..

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Presentation transcript:

Unit 6. Day 11.

Six Examples

Original Amount % Change New Amount Example A: Disneyland increased the price of popcorn from $4 to $5. Find the percent increase. $4 ? $5 Example B: A $48 video game is increased by 25%. What is the new price? $48 ? 25% Example C: A new car costs $24,000 after an 20% increase. What was the original price? $24000 20% ?

Example A: Disneyland increased the price of popcorn from $4 to $5 Example A: Disneyland increased the price of popcorn from $4 to $5. Find the percent increase. 4 increase 100 𝑥 1 increase = original 4 original 4𝑥 = 100 4 4 100 4 50 2 𝑥 = = = 25 amount of increase 1 0.25 % increase = = original amount 25%

Example B: A $48 video game is increased by 25%. What is the new price? 𝑥 increase 25 100 = increase 125 𝑥 new price new % = 48 original original 100 48 old price old % 25 48 1200 = 100 𝑥 100𝑥 6000 = 100𝑥 100 100 100 100 12 12 = 𝑥 60 = 𝑥 $ 4 8 + $ 1 2 6 0

Example C: A new car cots $24,000 after an 20% increase Example C: A new car cots $24,000 after an 20% increase. What was the original price? increase new 120 20 24000 24000 increase new = 100 𝑥 original 100 𝑥 original 6 5 = 24000 𝑥 6𝑥 = 120000 6 6 𝑥 = 20,000

Original Amount % Change New Amount Example D: Mr. Jordan’s sleep decreased from 8 hours per night to 5 hours per night. Find the percent decrease. 8 ? 5 Example E: A $40 pair of jeans goes on sale and is decreased by 15%. What is the new price? $40 ? 15% Example F: A new DVD costs $18 after an 25% decrease. What was the original price? $18 25% ?

Example D: Mr. Jordan’s sleep decreased from 8 hours per night to 5 hours per night. Find the percent decrease. 8 decrease 100 𝑥 3 decrease = original 8 original 8𝑥 = 300 8 8 300 8 150 4 37.5 37.5 𝑥 = = = amount of decrease = % decrease = 0.375 original amount 37.5% 8 − 5 3 3

Example E: A $40 pair of jeans goes on sale and is decreased by 15% Example E: A $40 pair of jeans goes on sale and is decreased by 15%. What is the new price? 𝑥 decrease 15 100 decrease = 40 𝑥 original original sale = 85 sale 100 40 original original 15 40 600 = 100 𝑥 100𝑥 100 100 3400 = 100𝑥 100 100 6 6 = 𝑥 34 = 𝑥 $ 4 0 − $ 6 3 4

Example F: A new DVD costs $18 after an 25% decrease Example F: A new DVD costs $18 after an 25% decrease. What was the original price? 18 18 decrease new 75 25 decrease new = 100 𝑥 100 𝑥 original original 3 4 = 18 𝑥 3𝑥 = 72 3 3 𝑥 = 24