In the first week
of July, a record 1,060 people went to the local
swimming pool. In the second week, 105 fewer
people went to the pool. In the third week, 135
more people went to the pool than in the second
week. In the fourth week, 136 fewer people
went to the pool than in the third week.

What is the percent change in the number of
people who went to the pool between the first
and last weeks?

In the first week of July, a record 1,060 people went to the local swimming pool
In the second week, 105 fewer people went to the pool
In the third week, 135 more people went to the pool than in the second week
In the fourth week, 136 fewer people went to the pool than in the third week

We need to find the percent change in the number of people who

went to the pool between the first and last weeks

∵ There were 1060 people in the 1st week

∵ There were 105 fewer people in the 2nd week

∴ The number of people in the 2nd week = 1060 - 105 = 955

∴ There were 955 people in the 2nd week

∵ There were 135 more people in the 3rd week than the 2nd week

∵ There were 955 people in the 2nd week

∴ The number of people in the 3rd week = 955 + 135 = 1090

∴ There were 1090 people in the 3rd week

∵ There were 136 fewer people in the 4th week than in the 3rd week

∵ There were 1090 people in the 3rd week

∴ The number of people in the 4th week = 1090 - 136 = 954

∴ There were 954 people in the 4th week

Let us find the change from 1st week to last week

∵ There were 1060 people in the 1 st week

∵ There were 954 people in the last week

∴ The change = 1060 - 954 = 106

∵ Percent change = [tex]\frac{Change}{Original}[/tex] × 100%

∴ Percent change = [tex]\frac{106}{1060}[/tex] × 100%

∴ Percent change = 10%

The percent change in the number of people who went to the pool

between the first and last week is 10% less

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