two step percentage problems word problems with a vengence
TRANSCRIPT
Two Step Percentage ProblemsWord problems with a vengence.
Finding the Whole
Increase or decrease• Find the whole given part and % increase or
decrease.
• Used in tax, wholesale/ retail, discounts, sales, commission, …
If an item is 30% off---
• What percent do you pay?
• 100% - 30% = 70%
• Whole minus part is what is left
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?
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?
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?
Finding the part
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%
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%
Finding the Percent
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.
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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