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](https://tex.z-dn.net/?f=5x)
Then number of girls in the course will be = ![8x](https://tex.z-dn.net/?f=8x)
Total number of students would be given as:
⇒ <em>Number of boys + Number of girls</em>
⇒ ![5x+8x](https://tex.z-dn.net/?f=5x%2B8x)
⇒ ![13x](https://tex.z-dn.net/?f=13x)
Total number of students given = 364.
Thus, we have:
![13x=364](https://tex.z-dn.net/?f=13x%3D364)
solving for ![x](https://tex.z-dn.net/?f=x)
Dividing both sides by 13.
![\frac{13x}{13}=\frac{364}{13}](https://tex.z-dn.net/?f=%5Cfrac%7B13x%7D%7B13%7D%3D%5Cfrac%7B364%7D%7B13%7D)
∴ ![x=28](https://tex.z-dn.net/?f=x%3D28)
So, number of boys in the course will be =
= 140