In the first week of​ July, a record 1,040 people went to the local swimming pool. In the second​ week, 105 fewer people went to the pool than in the first week. In the third​ week, 135 more people went to the pool than in the second week. In the fourth​ week, 290 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four​ weeks?
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Answer:

The percentage of people going to the people in week 4 compared to week 1 decreased by 25%.

Step-by-step explanation:

Week 1: 1,040 people

Week 2: 105 fewer people

1040 - 105 = 935 people

Week 3: 135 more people

935 + 135 = 1070 people

Week 4: 290 fewer people

1070 - 290 = 780 people

So, there were 260 fewer people, going to the pool in those 4 weeks compared to week 1.

Now, we must find the percentage change.

x/100 = 780/1040

Cross multiply.

1040x = 78000

Divide both sides by 1040 to leave x by itself on one side.

x = 78000/1040

x = 75%

This means only 75% of the total people from week one were going to the pool in week four. Therefore, there was a 25% decrease in the number of people who went to the pool over these four weeks.

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