College

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

1. Understand the Data:
- Liliana surveyed 20 seventh-grade students.
- She recorded how many hours each student spent on their computers each week.
- The results given are: 8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21.

2. Identify Students Using Computers:
- We need to count the number of students who spent more than 0 hours on their computers.
- From the survey results, list all the entries that are greater than 0: 8, 15, 11, 12, 13, 16, 13, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21.
- There are 18 students in this list.

3. Calculate the Total Number of Students Surveyed:
- The total number of seventh-grade students surveyed is 20.

4. Determine the Ratio:
- The ratio of students who used their computers to the total number of students surveyed is 18 out of 20.

5. Express the Ratio in Simplest Form:
- The ratio 18/20 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2.
- Thus, the simplified ratio is 9/10.

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].