There are 1,600 students at a university. 24% of students are sophomores, 20% are juniors, and 28% are seniors. How many students at the university are freshmen?

Respuesta :

Answer:

448 freshman.

Step-by-step explanation:

How many students at the university are freshmen?

= (1 - (.24 + .2 + .28)) * 1600 = .28 * 1600 = 448 freshman.

A percentage is a way to describe a part of a whole. The number of students that are freshmen in the university is 448.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that 24% of students are sophomores, 20% are juniors, and 28% are seniors. Therefore, the percentage of the freshman in the university will be,

Percentage of freshman = 100% - 24% - 20% - 28%

                                         = 100% - 72%

                                         = 28%

Now, since there are a total of 1,600 students at the university. Therefore, the number of students that are freshmen in the university is,

Number of students = 28% of 1600

                                  = (28/100) × 1600

                                  = 448

Hence, the number of students that are freshmen in the university is 448.

Learn more about Percentages:

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