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**Solving problems involving discounts at sales and sales tax.**

Number Sense 1.4 Calculate given percentages of quantities and solve problems involving discounts at sales, interest earned, and tips. Objective: Students will find the discount and sale price of an item and find the tax and total price of an item after taxes.

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**California Blue Prints**

Number Sense 25 39% Standard Set 1.0* Students compare and order positive and negative fractions, decimals, and mixed numbers. Students solve problems involving fractions, ratios, proportions, and percentages: 1.1* Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line. 3 1.2* Interpret and use ratios in different contexts (e.g., batting averages, miles per hour) to show the relative sizes of two quantities, using appropriate notations (a/b, a to b, a:b). 1 1.3* Use proportions to solve problems (e.g., determine the value of N if 4/7 = N/21, find the length of a side of a polygon similar to a known polygon). Use cross- multiplication as a method for solving such problems, understanding it as the multiplication of both sides of an equation by a multiplicative inverse. 6 1.4* Calculate given percentages of quantities and solve problems involving discounts at sales, interest earned, and tips. 5

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**How to find the sales tax!**

First find out what tax rate you will be paying. In California the tax rate is 8.25%! Convert your percentage to a decimal by moving your decimal two spaces to the left. Ex % = (Don’t forget to add a zero) Multiply the decimal form of the tax rate by the price of the item you are purchasing. Ex x $ cost of the item

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**How to find the sales tax!**

So if an item costs $5.00 Sales tax is 8.25% Convert 8.25% to .0825 So x $5 = $.41 The sales tax is $.41 But the total price of the item is $ $.41 = $5.41

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**How to find the Discount & Discounted Price**

Find out the % of the discount. Convert the % to a decimal. Multiply the decimal by the original price. Take the answer in step 2 and subtract it from the original price. Example Discount 20% = .20, $10 x .20 = $2.00 $ $2.00 = $8.00

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**Please randomly add all these number to your sheet of paper.**

$50.00 149.99 $162.36 $9.20 $239.19 $.74 $165.35 $189.99 $71.20 $17.80 $53.04 $4.04 $48.71 $3.71 $10.83 $.83

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**The object of the game: Solve the math problem.**

Cross out the answer on the bingo card. The first three students with four in a row win!

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**Hollister Shirt $10 The tax is 8.25%**

1. How much would you spend on taxes for this shirt? $.83 2. What would be the total cost of this shirt? $10.83

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**$45.00 iPod shuffle 1GB tax rate = 8.25%**

3. What will the sales tax be if you purchase this item? $3.71 4. What will the total price be if you purchase this item? $48.71

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**E-matic 4GB Video MP3 Player with 2**

E-matic 4GB Video MP3 Player with 2.4" Screen, Camera and Video Recorder $49.00 Tax rate 8.25% 5. What will be the total of the state sales tax? $4.04 6. What will be the total price of the MP3 Player after the state tax of 8.25% is applied? $53.04

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**If this Tony Romo Jersey was 20% off, 7. What would the discount be. 8**

If this Tony Romo Jersey was 20% off, 7. What would the discount be? 8. What would be the sale price? Tony Romo Jersey $89

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**Xbox 360 for $199.99 The Discount is 25% 9. What is the discount?**

$ 50.00 10. What is the price after the discount? $149.99 11. What is the price after the discount and after taxes? $162.36

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**Ipod Touch for $229.99 The tax rate is 4% 12. What is the tax? $ 9.20**

13. What is the total price after taxes? $239.19

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**To download this PowerPoint: Go to**

$239.19 $.83 $50.00 $189.99 $4.04 $3.71 $165.35 $53.04 $149.99 $10.83 $162.36 $9.20 $71.20 $.74 $17.80 $48.71 To download this PowerPoint: Go to

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MASSACHUSETTS 5 MICHIGAN 6 MINNESOTA 6.5 MISSISSIPPI 7 MISSOURI 4.225 MONTANA none NEBRASKA 5.5 NEVADA NEW HAMPSHIRE NEW JERSEY NEW MEXICO NEW YORK 4 NORTH CAROLINA (6) 4.25 NORTH DAKOTA OHIO OKLAHOMA 4.5 OREGON PENNSYLVANIA RHODE ISLAND State Sales Tax ALABAMA 4 ALASKA none ARIZONA 5.6 ARKANSAS 6 CALIFORNIA 8.25 COLORADO 2.9 CONNECTICUT DELAWARE FLORIDA GEORGIA HAWAII IDAHO ILLINOIS 6.25 INDIANA IOWA 5 KANSAS 5.3 KENTUCKY LOUISIANA MAINE MARYLAND (5) SOUTH CAROLINA 6 SOUTH DAKOTA 4 TENNESSEE 7 TEXAS 6.25 UTAH 4.65 VERMONT VIRGINIA 5 (2) WASHINGTON 6.5 WEST VIRGINIA WISCONSIN 5 WYOMING DIST. OF COLUMBIA 5.75

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Bell Work: Tax and Tip! Your bill is $35.50. What is your total after you leave a 20% tip and pay 5% tax? Method 2 Multiply the price by 125% since.

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