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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 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 :

Sure! Let's work through this problem step-by-step:

1. Understand the Situation: Liliana surveyed 20 seventh-grade students to find out how many hours they spend on their computers each week. She recorded the number of hours for each student.

2. Identify the Task: We need to find the ratio of the total number of students who used their computers to the total number of students surveyed.

3. List the Hours Spent:
- The recorded hours are: 8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21.

4. Identify the Total Number of Students Surveyed:
- There are 20 students in total, as stated in the problem.

5. Count the Students Using Computers:
- We need to count how many students spent more than 0 hours on their computers. Looking through the list, there are 18 students who reported using their computers for more than 0 hours.

6. Calculate the Ratio:
- To find the ratio of students who used their computers to those surveyed, we divide the number of students who used computers (18) by the total number of students surveyed (20).
- The ratio is therefore [tex]\( \frac{18}{20} \)[/tex].

7. Simplify the Ratio:
- Simplifying [tex]\( \frac{18}{20} \)[/tex] gives us [tex]\( \frac{9}{10} \)[/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