For every 7 females at university, there are 3 males. If there are approximately 9500 females, approximately how many total students attend the university? Round to the nearest hundred.

Question

For every 7 females at university, there are 3 males. If there are approximately 9500 females, approximately how many total students attend the university? Round to the nearest hundred.

Answer 1

70% of the students are female and 30 % male.

Total number of students= x

70% of x = 9500

i.e x= 9500 /.70= 13,571.43 approximate no. Of students= 13,571

Answer 2

For every 7 female students, there are 3 male students.

In other words, 7 in 10 students are female, and 3 in 10 students are male.

The question asks, if there are 9,500 female students, approximately how many total students?

With the provided information in the first sentence, set up a ratio that matches the provided and requested information of the second sentence. Since this is Algebra, we'll use x to represent the unknown value. Then set the two ratios equal to each other.

7 female ₌ 9500 female

10 total x

Now, just solve for x:

x = 9500 female( 10 total )

7 female

When you cancel the common female units in both the numerator and denominator, you'll notice the only unit remaining is the total, which is exactly what we are asked to determine

x = 9500 female( 10 total )

7 female

x = 13,571.42857 total

Answer (rounded to the nearest hundred)

There are approximately 13,600 total students