Question

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?

Answer 1

Answer:

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 = $5x$

Then number of girls in the course will be =  $8x$

Total number of students would be given as:

⇒ Number of boys + Number of girls

⇒ $5x+8x$

⇒ $13x$

Total number of students given = 364.

Thus, we have:

$13x=364$

solving for $x$

Dividing both sides by 13.

$\frac{13x}{13}=\frac{364}{13}$

∴ $x=28$

So, number of boys in the course will be = $5\times 28$ = 140