There are 364 students who are enrolled in an introductory biology course. if there are five boys to every eight girls, how many boys are in the course?

The number of boys in the course will be = 140

Step-by-step explanation:

Given:

Total number of students enrolled in an introductory biology course = 364

There are 5 boys to every 8 girls in the course.

To find how many boys are in the course.

Solution:

Since, there are 5 boys to every 8 girls in the course.

So, ratio of boys to girls enrolled in the course = 5 : 8

Let the number of boys in the course be =

Then number of girls in the course will be =  

Total number of students would be given as:

⇒ Number of boys + Number of girls

⇒

⇒

Total number of students given = 364.

Thus, we have:

solving for

Dividing both sides by 13.

∴

So, number of boys in the course will be = = 140

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.