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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. She asked 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 problem, we need to find the ratio of the number of students who used their computers to the total number of students surveyed. Let's break it down step-by-step:

1. Count the Total Number of Students Surveyed:
Liliana surveyed a total of 20 students at the town park. This is our denominator for the ratio.

2. Identify Students Who Used Their Computers:
We need to count how many students used their computers, which means we want to count the number of students with non-zero hours.

The recorded hours are:
8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21

Let's count the number of non-zero entries:
- Count non-zero numbers: 8, 15, 11, 12, 13, 16, 13, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21
- There are 18 non-zero numbers in this list.

3. Calculate the Ratio:
We have 18 students who used their computers out of 20 total students surveyed. Thus, the ratio of students who used their computers to the total number of students is:

[tex]\[ \frac{18}{20} \][/tex]

4. Simplify the Ratio:
To simplify [tex]\(\frac{18}{20}\)[/tex], we divide both the numerator and the denominator by their greatest common divisor, which is 2:

[tex]\[ \frac{18 \div 2}{20 \div 2} = \frac{9}{10} \][/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]. Thus, the correct choice is [tex]\(\frac{18}{20}\)[/tex] or [tex]\(\frac{9}{10}\)[/tex].

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