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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 the problem of finding the ratio of the number of students who used their computers to the total number of students surveyed, follow these steps:

1. Identify the Total Number of Students Surveyed:
Liliana surveyed 20 seventh-grade students at the town park.

2. Find the Number of Students Who Used Their Computers:
We need to count how many students spent any time on their computers, which means they used their computers for more than 0 hours. Look at the list of the number of hours each student spent on their computer:

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

Any student with a time greater than 0 indicates they used their computer. By counting these numbers in the list, we find that 18 students used their computers.

3. Calculate the Ratio:
The ratio of students who used their computers to the total number of students surveyed is given by:

[tex]\[
\text{Ratio} = \frac{\text{Number of students who used their computers}}{\text{Total number of students surveyed}}
\][/tex]

Substituting the values we have:

[tex]\[
\text{Ratio} = \frac{18}{20}
\][/tex]

This simplifies to [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]\(\frac{18}{20}\)[/tex] or [tex]\(\frac{9}{10}\)[/tex].

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Rewritten by : Barada