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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. The results were as follows:

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

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, we follow these steps:

1. Calculate the total number of students surveyed. There are 20 students.

2. Determine the number of students who used their computers. Since the data includes two students who spent 0 hours on their computers, the number of students who used their computers is
[tex]$$20 - 2 = 18.$$[/tex]

3. Write the ratio of students who used their computers to the total number of students:
[tex]$$\frac{18}{20}.$$[/tex]

4. Simplify the fraction by dividing 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]

Thus, the ratio of the total number of students who used their computers to the total number of students surveyed is
[tex]$$\frac{18}{20} \text{ or } \frac{9}{10}.$$[/tex]

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Rewritten by : Barada