Question

According to a pencil company's advertising campaign, 2 out of 3 students prefer the company's pencils to their competitor's pencils. A representative of the company went to a high school with 1479 students for alq & A session, and one of the students asked, "If this is true, in this high school, how many more students are there who prefer your pencils than students who prefer your competitor's pencils?" Help the company's representative come up with an answer. Assume that the company's claim is true.Part 1: How many of the students in the high school prefer the company's pencils? Part II: Out of 3 students, how many prefer the pencils of the company's competitor?Part III: How many of the students in the high school prefer the pencils of the company's competitor? Part IV: In the high school, how many more students are there who prefer the company's pencils than students who prefer their competitor's pencils?

Answer 1

Data:

2 of 3 students prefer the company's pencils to their competitor's pencils

high school with 1479 students

Part 1:

You have 1479 students in total and know that 2 of 3 students prefer the company's pencils, then you multiply the toatl number of students by the factor 2/3

$1479\cdot\frac{2}{3}=\frac{2958}{3}=986$Then, 986 students in the high school prefer the company's pencils

Part 2:

Of 3 students 1 prefer the pencils of the company's competitorPart 3:

Substract the number of students that prefer the company's pencils from the total of students:

$1479-986=493$Then, 493 students in the high school prefer the pencils of the company's competitorPart 4:

Substract the number of students who prefer the competitor's pencils fom the students that prefer the company's pencils:

$986-493=493$Then, in the high school there are 493 students more that prefer the company's pencils than students who prefer their competitor's pencils