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85,740 people did an online survey about how often they go to the zoo. [tex]\(\frac{11}{30}\)[/tex] of the people surveyed said that they go to the zoo more than twice a year.

How many people said that they go to the zoo more than twice a year?

Round your answer to the nearest hundred.

Sagot :

To determine how many people from the surveyed group go to the zoo more than twice a year, follow these steps:

1. Identify the total number of people surveyed:
- The total number of people surveyed is 85,740.

2. Understand the fraction of people who go to the zoo more than twice a year:
- The fraction of people who go to the zoo more than twice a year is [tex]\(\frac{11}{30}\)[/tex].

3. Calculate the number of people who go to the zoo more than twice a year:
- Multiply the total number of people surveyed (85,740) by the given fraction ([tex]\(\frac{11}{30}\)[/tex]).

[tex]\[ \text{People who go to the zoo more than twice a year} = 85,740 \times \frac{11}{30} \][/tex]

4. Compute the exact number:

[tex]\[ 85,740 \times \frac{11}{30} = 31,437.999999999996 \][/tex]

5. Round the answer to the nearest hundred:
- To round 31,437.999999999996 to the nearest hundred, look at the tens digit (4 in this case). Since 4 is less than 5, we round down.

[tex]\[ 31,437.999999999996 \approx 31,400 \][/tex]

Therefore, the number of people who said they go to the zoo more than twice a year, rounded to the nearest hundred, is 31,400.