Middle school has 2,500 students. Morgan interviewed 75 students about their library habits. She found that 45 of the student checked out a book weely. Predict the number of student likely to check out books weekly

Respuesta :

Answer:

Number of student likely to check out books weekly are 1500.

Step-by-step explanation:

Given:

Total Number of students in school = 2500

Number of students interviewed = 75

Number of students checked out a book weekly = 45

We need to find the  number of student likely to check out books weekly.

Solution:

First we will find the percentage of people who check out books weekly.

Now we can say that;

percentage of people who check out books weekly can be calculated by Number of students checked out a book weekly divided by Number of students interviewed and the multiplied by 100.

framing in equation form we get;

percentage of people who check out books weekly = [tex]\frac{45}{75}\times 100 = 60\%[/tex]

Now we can say that;

number of student likely to check out books weekly can be calculated by multiplying percentage of people who check out books weekly with Total Number of students in school and then divided by 100.

framing in equation form we get;

number of student likely to check out books weekly = [tex]\frac{60}{100} \times 2500 =1500[/tex]

Hence Number of student likely to check out books weekly are 1500.

Answer:

1500 students are predicted likely to check out books weekly.

Step-by-step explanation:

GIven:

Middle school has 2,500 students.

Morgan interviewed 75 students and found that 45 of the student checked out a book weely.

Now, to predict the number of students likely to check out books weekly.

Total number of students middle school has = 2,500.

Let the number of students predicted to check out books weekly be [tex]x.[/tex]

According to the interview taken by Morgan 45 out of 75 students checked out a book weely.

So, 45 is equivalent to 75.

Thus, [tex]x[/tex] is equivalent to 2,500.

Now, to solve using cross multiplication method:

[tex]\frac{45}{75} =\frac{x}{2500}[/tex]

By cross multiplying we get:

[tex]112500=75x[/tex]

Dividing both sides by 75 we get:

[tex]1500=x\\\\x=1500.[/tex]

The number of students predicted to check out books weekly = 1500.

Therefore, 1500 students are predicted likely to check out books weekly.