Solved on Jan 08, 2024

Find the number of students who enroll at a university where $70\%$ of applicants are accepted and $25\%$ of accepted students enroll, given 30,000 students apply.

STEP 1

Assumptions
1. The university acceptance rate is $70\%$ .
2. Of the accepted students, $25\%$ actually enroll.
3. The total number of students who apply is $30,000$ .

STEP 2

First, we need to calculate the number of students who are accepted by the university. We can do this by multiplying the total number of applicants by the acceptance rate.
$Accepted\, students = Total\, applicants \times Acceptance\, rate$

STEP 3

Now, plug in the given values for the total number of applicants and the acceptance rate to calculate the number of accepted students.
$Accepted\, students = 30,000 \times 70\%$

STEP 4

Convert the percentage to a decimal value.
$70\% = 0.7$
$Accepted\, students = 30,000 \times 0.7$

STEP 5

Calculate the number of students who are accepted.
$Accepted\, students = 30,000 \times 0.7 = 21,000$

STEP 6

Now that we have the number of accepted students, we need to find out how many of these students actually enroll. We can do this by multiplying the number of accepted students by the enrollment rate.
$Enrolled\, students = Accepted\, students \times Enrollment\, rate$

STEP 7

Plug in the values for the number of accepted students and the enrollment rate to calculate the number of students who actually enroll.
$Enrolled\, students = 21,000 \times 25\%$

STEP 8

Convert the percentage to a decimal value.
$25\% = 0.25$
$Enrolled\, students = 21,000 \times 0.25$

STEP 9

Calculate the number of students who actually enroll.
$Enrolled\, students = 21,000 \times 0.25 = 5,250$
Therefore, 5,250 students would actually enroll.

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Find the number of students who enroll at a university where $70\%$ of applicants are accepted and $25\%$ of accepted students enroll, given 30,000 students apply.

STEP 1

Assumptions
1. The university acceptance rate is $70\%$ .
2. Of the accepted students, $25\%$ actually enroll.
3. The total number of students who apply is $30,000$ .

STEP 2

First, we need to calculate the number of students who are accepted by the university. We can do this by multiplying the total number of applicants by the acceptance rate.
$Accepted\, students = Total\, applicants \times Acceptance\, rate$

STEP 3

Now, plug in the given values for the total number of applicants and the acceptance rate to calculate the number of accepted students.
$Accepted\, students = 30,000 \times 70\%$

STEP 4

Convert the percentage to a decimal value.
$70\% = 0.7$
$Accepted\, students = 30,000 \times 0.7$

STEP 5

Calculate the number of students who are accepted.
$Accepted\, students = 30,000 \times 0.7 = 21,000$

STEP 6

Now that we have the number of accepted students, we need to find out how many of these students actually enroll. We can do this by multiplying the number of accepted students by the enrollment rate.
$Enrolled\, students = Accepted\, students \times Enrollment\, rate$

STEP 7

Plug in the values for the number of accepted students and the enrollment rate to calculate the number of students who actually enroll.
$Enrolled\, students = 21,000 \times 25\%$

STEP 8

Convert the percentage to a decimal value.
$25\% = 0.25$
$Enrolled\, students = 21,000 \times 0.25$

STEP 9

Calculate the number of students who actually enroll.
$Enrolled\, students = 21,000 \times 0.25 = 5,250$
Therefore, 5,250 students would actually enroll.

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Find the number of students who enroll at a university where 70%70\%70% of applicants are accepted and 25%25\%25% of accepted students enroll, given 30,000 students apply.

STEP 1

Assumptions1. The university acceptance rate is 70%70\%70%.2. Of the accepted students, 25%25\%25% actually enroll.3. The total number of students who apply is 30,00030,00030,000.

STEP 2

STEP 3

Now, plug in the given values for the total number of applicants and the acceptance rate to calculate the number of accepted students.Accepted students=30,000×70%Accepted\, students = 30,000 \times 70\%Acceptedstudents=30,000×70%

STEP 4

Convert the percentage to a decimal value.70%=0.770\% = 0.770%=0.7Accepted students=30,000×0.7Accepted\, students = 30,000 \times 0.7Acceptedstudents=30,000×0.7

STEP 5

Calculate the number of students who are accepted.Accepted students=30,000×0.7=21,000Accepted\, students = 30,000 \times 0.7 = 21,000Acceptedstudents=30,000×0.7=21,000

STEP 6

STEP 7

Plug in the values for the number of accepted students and the enrollment rate to calculate the number of students who actually enroll.Enrolled students=21,000×25%Enrolled\, students = 21,000 \times 25\%Enrolledstudents=21,000×25%

STEP 8

Convert the percentage to a decimal value.25%=0.2525\% = 0.2525%=0.25Enrolled students=21,000×0.25Enrolled\, students = 21,000 \times 0.25Enrolledstudents=21,000×0.25

STEP 9

Calculate the number of students who actually enroll.Enrolled students=21,000×0.25=5,250Enrolled\, students = 21,000 \times 0.25 = 5,250Enrolledstudents=21,000×0.25=5,250Therefore, 5,250 students would actually enroll.

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Find the number of students who enroll at a university where $70\%$ of applicants are accepted and $25\%$ of accepted students enroll, given 30,000 students apply.

Assumptions
1. The university acceptance rate is $70\%$ .
2. Of the accepted students, $25\%$ actually enroll.
3. The total number of students who apply is $30,000$ .

Now, plug in the given values for the total number of applicants and the acceptance rate to calculate the number of accepted students.
$Accepted\, students = 30,000 \times 70\%$

Convert the percentage to a decimal value.
$70\% = 0.7$
$Accepted\, students = 30,000 \times 0.7$

Calculate the number of students who are accepted.
$Accepted\, students = 30,000 \times 0.7 = 21,000$

Plug in the values for the number of accepted students and the enrollment rate to calculate the number of students who actually enroll.
$Enrolled\, students = 21,000 \times 25\%$

Convert the percentage to a decimal value.
$25\% = 0.25$
$Enrolled\, students = 21,000 \times 0.25$

Calculate the number of students who actually enroll.
$Enrolled\, students = 21,000 \times 0.25 = 5,250$
Therefore, 5,250 students would actually enroll.