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In a school of 280 students, primary one, two, and three are distributed in the ratio 1:3:2. Find the class with the highest number of students.

A. Primary One
B. Primary Two
C. Primary Three
D. It cannot be determined with the given information.

User Sanja
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1 Answer

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Final answer:

The class with the highest number of students is Primary Two with 140 students, as determined by applying the given ratio to the total number of students and solving for each class.

Step-by-step explanation:

To determine the class with the highest number of students, we first need to understand the distribution of students in the school, which is provided in the ratio 1:3:2 for primary one, two, and three respectively. To find out how many students are in each class, we can set up a proportion where the sum of the parts of the ratio equals the total number of students in the school, which is 280.

Let's denote the common factor of the ratio as 'x'. The number of students in primary one, two, and three would then be x, 3x, and 2x respectively. The sum of these quantities should equal 280, so we have:

x + 3x + 2x = 280
6x = 280
x = ⅔

Now, we find the value of 'x' and calculate the number of students in each class:

x = 280 ÷ 6
x = 46⅗

Primary One: 1x = 46⅗ students
Primary Two: 3x = 46⅗ × 3 = 140 students
Primary Three: 2x = 46⅗ × 2 = 93⅔ students

Therefore, the class with the highest number of students is Primary Two (B).

User Lightbricko
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