College

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

1. Determine the Total Number of Students Surveyed:
- Liliana surveyed 20 seventh-grade students. So, the total number of students surveyed is 20.

2. Identify Students Who Used Their Computers:
- We need to count how many students reported spending more than 0 hours on their computers. Here is the list of hours:
8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21.
- By going through the list, we count how many of these numbers are greater than 0. The count is 18 students who used their computers.

3. Calculate the Ratio:
- To find this ratio, divide the number of students who used their computers by the total number of students surveyed.
- The ratio is 18 (students using computers) to 20 (total students), which simplifies to [tex]\(\frac{18}{20} = \frac{9}{10}\)[/tex].

Therefore, the ratio of students who used their computers to the total number of students surveyed is [tex]\(\frac{9}{10}\)[/tex].