Question

Consider a class where students were surveyed regarding their usage of three devices: computer, tablet, and smartphone. From the responses gathered, it was found that all students use at least one device. The data indicates that 18 students use computers, 19 use tablets, 13 use smartphones, 11 use both computers and tablets, 8 use both tablets and smartphones, 9 use both computers and smartphones, and 7 students use all three devices. Determine:

a. The number of students who use the smartphone and the computer but not the tablet.
b. The count of students who exclusively use the smartphone.
c. How many students are there in the class?

Answer 1

To find the number of students who use the smartphone and the computer but not the tablet, subtract the number of students who use all three devices from the number of students who use both computers and smartphones. To find the count of students who exclusively use the smartphone, subtract the number of students who use both tablets and smartphones and the number of students who use both computers and smartphones from the total number of students who use smartphones. To find the total number of students in the class, add all the students who use each device individually and subtract the students who use multiple devices.

Step-by-step explanation:

Let's solve this step by step:

a. To find the number of students who use the smartphone and the computer but not the tablet, we need to subtract the number of students who use all three devices from the number of students who use both computers and smartphones. So, the answer is 9 - 7 = 2 students.

b. To find the count of students who exclusively use the smartphone, we need to subtract the number of students who use both tablets and smartphones and the number of students who use both computers and smartphones from the total number of students who use smartphones. So, the answer is 13 - 8 - 9 = 4 students.

c. To find the total number of students in the class, we need to add all the students who use each device individually and subtract the students who use multiple devices. So, the answer is 18 + 19 + 13 - 11 - 8 - 9 + 7 = 49 students.