Percent Change Day 3: The Percent Remaining Method
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Transcript of Percent Change Day 3: The Percent Remaining Method
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Percent Change Day 3:The Percent Remaining
Method
By Jim Olsen, W.I.U.#P21
For Percent Change:▲If an increase, then the percent remaining is greater than 100%. ▼If a decrease, the percent remaining is less than 100%.
Use:
(Original)*(Percent remaining) = (New)
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In percent change situations, there are four numbers to pay attention to:
1. Original amount (the “old”/“starting” amount before the change)
2. New amount (the “ending” amount after the change)3. Amount of change (the difference [subtract] between
original and new)4. Percent change (percent increase or decrease).
Recall from Day 1
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Put the known numbers in the chart,then figure out the others.
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The Percent Remaining Method is most useful when the New amount
and the Percent change are known*.
The definition of percent change is more difficult to use because of what is known & unknown.
(*which is the first of the two harder percent change problem types)
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To find the Percent Remaining, simply:▲Add on the percent to 100%, if a percent increase.
▼Subtract the percent from 100%, if a percent decrease.
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Percent change is used in almost every aspect of life to describe change – and
our world is changing!
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Examples:1. The attendance this year at the gym is up by 20%
since last year and currently we have 180 people per day using the gym. What was attendance last year?
Step 1: Percent remaining 100% 20% 120%
Step 2: Original * Percent remaining New
( )(1.20) 180
180
1.2Original amount 150 people per day
x
x
x
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Important Note
On the previous problem, it does not work to take 20% of the 180 (the new amount) and subtract it. The reason is that the 20% increase means 20% of the original amount (which is different from 180).
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Examples:2. The sale price of the microwave is $180. This is due to
a discount of 20% from the regular price. What is the regular price?
Step 1: Percent remaining 100% 20% 80%
Step 2: Original * Percent remaining New
( )(.80) 180
180
.80 Original price $225
x
x
x
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The Percent Remaining method is also a good method when the original and percent change are known.
It saves a step of work.
As we see in the next example…
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Examples:
3. This year we have $2,200 budgeted for travel expenses. For next year there is a budget cut of 8%. How much will we have for travel next year?
Step 1: Percent remaining 100% 8% 92%
Step 2: Original * Percent remaining New
(2200)(.92)
Budget next year $2024
x
x
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Closing Notes Remember
#P21
For Percent Change:▲If an increase, then the percent remaining is greater than 100%. ▼If a decrease, the percent remaining is less than 100%.
Use:
(Original)*(Percent remaining) = (New)
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Stay tuned…
This is Day 3 of 4.
One more Tweets/Days will follow, with more information on percent change.
Learnist board: http://bit.ly/13AGhZq