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Liliana wants to start a seventh-grade computer club at Hamden Middle School. She surveyed 20 seventh-grade students at the town park, asking each student how many hours they spend on their computers each week. She obtained the following results:

[tex]8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21[/tex]

What is the ratio of the total number of students who used their computers to the total number of students surveyed?

A. [tex]\frac{2}{20}[/tex] or [tex]\frac{1}{10}[/tex]
B. [tex]\frac{2}{18}[/tex] or [tex]\frac{1}{9}[/tex]
C. [tex]\frac{18}{20}[/tex] or [tex]\frac{9}{10}[/tex]
D. [tex]\frac{18}{2}[/tex] or [tex]\frac{9}{1}[/tex]

Answer :

To solve this question, we need to determine the ratio of students who use their computers to the total number of students surveyed.

Liliana surveyed 20 students in total.

Next, let's find out how many of these students used their computers. A student used their computer if the number of hours they spend on it each week is greater than 0.

Here are the results of the survey:

8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21

Count the students who spent more than 0 hours on their computers:

- 8 hours: 1 student
- 15 hours: 1 student
- 11 hours: 1 student
- 12 hours: 3 students
- 13 hours: 4 students
- 16 hours: 1 student
- 4 hours: 1 student
- 17 hours: 1 student
- 14 hours: 1 student
- 30 hours: 1 student
- 5 hours: 1 student
- 1 hour: 1 student
- 21 hours: 1 student

Add these numbers together: 1 + 1 + 1 + 3 + 4 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 18 students

So, 18 students used their computers.

Now, we find the ratio of students who used their computers to the total number of students surveyed. We have:

- 18 students used computers
- 20 students were surveyed in total

The ratio is 18 out of 20, which can be simplified:

[tex]\(\frac{18}{20} = \frac{9}{10}\)[/tex]

Therefore, the ratio of the total number of students who used their computers to the total number of students surveyed is [tex]\(\frac{9}{10}\)[/tex].

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Rewritten by : Barada