Percents And Probability Worksheet With Answers - Lesson 12-19 Page 35

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Find the percent of increase from 10 to 18.
examPle 1
s
Calculate the amount of increase.
18 – 10 = 8
olution
amount of increase
= 8 __
______________
Calculate the percent of increase.
= 0.8 = 80%
10
original amount
Th e percent of increase from 10 to 18 is 80%.
Find the percent of decrease from 25 to 21.
examPle 2
Calculate the amount of decrease.
25 – 21 = 4
s
olution
amount of decrease
= 4 __
______________
Calculate the percent of decrease.
= 0.16 = 16%
25
original amount
Th e percent of decrease from 25 to 21 is 16%.
Always compare the amount of change to the original amount. In problems like
examples 1 and 2 the original amount is the fi rst amount listed. In some situations
you will know the percent of change but you may not know the amount of increase or
decrease. When this is the case, you must solve the equation using inverse operations.
Th e solution to the equation may not be the fi nal answer to the problem.
Last year 2,300 people attended a Fourth of July parade at
examPle 3
the beach. Th is year the number of people increased by 8%.
Find the number of people who attended the parade
this year.
s
You are given the percent increase. You need to fi nd
olution
the amount of increase to add to the 2,300 people
who attended last year.
amount of increase
_____________
Use the percent of change equation.
Percent of increase =
original amount
0.08 = x
____
Write the percent of increase
2300
as a decimal.
Multiply both sides by 2,300.
184 = x
Th ere were 184 more people at this year’s parade than at last year’s parade.
Th e number of people who attended the parade this year is 184 + 2300 = 2484.
Th e total attendees at the parade this year was 2,484.
105
Lesson 18 ~ Percent Of Change

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