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Two Step Percentage Problems Word problems with a vengence.

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Finding the Whole

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Increase or decrease Find the whole given part and % increase or decrease. Used in tax, wholesale/ retail, discounts, sales, commission, …

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If an item is 30% off--- What percent do you pay? 100% - 30% = 70% Whole minus part is what is left

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If an item is 30% off--- Jack bought a jacket for $45. This was 30% off the original price. What was the original price? Answer 70% of what is 45?

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Increase or Decrease The furniture store marked the table up 75%. It sells for $450. What was the wholesale price? 100% + 75% = 175% Answer 450 is 175 % of what?

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Thing to think about Is the original asked for? Is the new more or less than the original? Should the % be more or less than 100?

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Finding the part

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Increase or Decrease Janet will will pay a 15% shipping fee on a $45 item. How much will she pay altogether? Two ways. –Find 15% and add –Find 115%

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Increase or Decrease Tony gets a 15% discount on a $45 item. How much will she pay altogether? Two ways. –Find 15% and subtract –Find 100%-15%=85%

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Finding the Percent

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Increase or Decrease Raulph marked an item up for sale from $135 retail to $236.25. What was the percent markup? Two ways. –Find what percent of 135 is 236.25. The find the change from 100%. –Subtract 236.25-135=101.25 Find what percent of 135 is 101.25.

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Increase or Decrease Raulph bought a $135 item for $95. What was the percent savings? Two ways. –Find what percent of 135 is 95. The find the change for 100%. –Subtract 135-95=40 Find what percent of 135 is 40.

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