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a prestigious program accepts 2 out of every 9 applicants per yer. if the program accepted 360 applicants, how many applicants were not accepted?

Sagot :

If a prestigious program accepts only 2 out of every 9 applicants each year and if the program accepted 360 applicants then a total of 1260 applicants were rejected in the program.

What is unitary method?

A problem can be solved using the unitary method by first determining the value of a single unit, and then multiplying that value to determine the required value.

Given,

2 out of every 9 applicants are accepted each year.

Total applications accepted = 360

Applying the unitary method,

2 applications are accepted out of 9 applications.

1 application is accepted out of 9/2 applications.

360 applications are accepted out of 9/2 × 360 = 1620 applications.

Hence, total number of applications received = 1620

The total number of applications received can also be found out using ratio and proportion.

Let the total number of applications received be x.

Now,

2:9 :: 360:x  

2x = (9)(360)

x =   1620

Now,

Total applications received = 1620

Total applications accepted = 360

Total number of rejected applications = 1620 - 360 = 1260

Hence, a total of 1260 applicants were not accepted in the program.

To know more about ratio and proportion please click here https://brainly.com/question/12024093

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