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H ow do you find the original amount and amount of change given the percent change and final amount?. For example:

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**How do you find the original amount and amount of change**given the percent change and final amount? For example: At a discount furniture store, Chris offered a salesperson $600 for a couch. Chris’ offer includes 8% sales tax. If the salesperson accepts the offer, what would be the price of the couch before tax? How much was the tax?**In this lesson you will learn how to find the original**amount and amount of change given the percent change and final amountby using proportions and equations.**Solving a Proportion**100x = 25 x 36 100x = 900**Solving an Equation**100x = 900 x = 9**Percent Increase/Decrease = Amount Change**40% increase/decrease in price means you just add/subtract $40 Amount increase/decrease = Final amount Increase/decrease of $40 means the final amount is $40**At a discount furniture store, Chris offered a salesperson**$600 for a couch. Chris’ offer includes 8% sales tax. If the salesperson accepts the offer, what would the price of the furniture be before tax? How much is the tax?**Key Information:**Original = ? = 100% Change = ? = 8% of Original Final = $600 = 108% of Original**Option 1: Use Proportions**$600 is 108% of the unknown original amount 60,000 = 108x $555.56 = x = Original $600-555.56 = $44.44 = Tax**Option 2: Use Equations**Let Original Amount = x = 100% x plus 8% of x = 108% of x = $600 x + 0.08x = 1.08x = 600 x = original amount = $555.56 tax = 600 – 555.56 = $44.44 Adding 8% is the same as 108% of the original amount**In this lesson you have learned how to find the original**amount given the percent of change and final amount by using proportions and equations.**At 5 PM the price of 1 share of stock in Technology**Corporation was $24. The price had fallen 20% since 9 AM. What was the price at 9AM? How much did the price decrease?**On average retailers markup their selling prices 250% more**than their buying prices. Make a table of the last 10 items your family has purchased. How much did they cost you? How much did they cost the retailer? How much profit did the retailer make?**During the Great Depression the price of stocks fell**drastically. Pretend that you owned 500 shares of stock in a company whose price per share fell 90% to a rate of $2.50 per share. What was the price per share before the Great Depression? How much did the value of your stock decrease?**While watching TV Jen’s blinking rate increased 75% to 30**blinks per minute. What was Jen’s blinking rate before watching TV? How much did it change? This week a computer is 30% off its original price and is selling for $500. What was the original price? How much did it change?

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