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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 :

Let's go through the solution step-by-step.

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

2. Determine the Number of Students Who Used Their Computers:
We need to find out how many students actually used their computers for more than 0 hours. Here are the given hours each student spent on their computers:
[tex]\[8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21\][/tex]

Count the number of entries where the number of hours is greater than 0:
- 8 is greater than 0
- 15 is greater than 0
- 0 is not counted
- 11 is greater than 0
- 12 is greater than 0
- 13 is greater than 0
- 16 is greater than 0
- 13 is greater than 0
- 0 is not counted
- 4 is greater than 0
- 17 is greater than 0
- 14 is greater than 0
- 30 is greater than 0
- 13 is greater than 0
- 5 is greater than 0
- 12 is greater than 0
- 1 is greater than 0
- 13 is greater than 0
- 12 is greater than 0
- 21 is greater than 0

There are 18 students who used their computers.

3. Calculate the Ratio:
We now have 18 students who used their computers out of a total of 20 students surveyed. The ratio of students who used their computers to the total number of students surveyed is [tex]\(\frac{18}{20}\)[/tex].

4. Simplify the Ratio:
To simplify the fraction [tex]\(\frac{18}{20}\)[/tex], 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]

So, the simplified ratio of the number of students who used their computers to the total number of students surveyed is [tex]\(\frac{9}{10}\)[/tex]. This matches the option [tex]\(\frac{18}{20}\)[/tex] or [tex]\(\frac{9}{10}\)[/tex].

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Rewritten by : Barada