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 = [tex]5x[/tex]
Then number of girls in the course will be = [tex]8x[/tex]
Total number of students would be given as:
⇒ Number of boys + Number of girls
⇒ [tex]5x+8x[/tex]
⇒ [tex]13x[/tex]
Total number of students given = 364.
Thus, we have:
[tex]13x=364[/tex]
solving for [tex]x[/tex]
Dividing both sides by 13.
[tex]\frac{13x}{13}=\frac{364}{13}[/tex]
∴ [tex]x=28[/tex]
So, number of boys in the course will be = [tex]5\times 28[/tex] = 140
