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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. The results are as follows:

[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 :

The problem involves finding the ratio of the number of students who used their computers to the total number of students surveyed.

Step 1: Determine the total number of students surveyed

There are 20 students surveyed. Thus, the total is
[tex]$$
\text{Total Students} = 20.
$$[/tex]

Step 2: Count how many students used their computers

A student is considered to have used their computer if they spent more than 0 hours on it. Checking the data, two of the students spent 0 hours on their computers. That means the number of students who used their computers is:
[tex]$$
\text{Students Who Used} = 20 - 2 = 18.
$$[/tex]

Step 3: Calculate the ratio

The ratio of students who used their computers to the total number of students is given by:
[tex]$$
\text{Ratio} = \frac{\text{Students Who Used}}{\text{Total Students}} = \frac{18}{20}.
$$[/tex]

The fraction [tex]$\frac{18}{20}$[/tex] can be simplified by dividing both the numerator and denominator by 2:
[tex]$$
\frac{18 \div 2}{20 \div 2} = \frac{9}{10}.
$$[/tex]

Thus, the final answer is:
[tex]$$
\frac{18}{20} \quad \text{or} \quad \frac{9}{10}.
$$[/tex]

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Rewritten by : Barada