Answer:
24
Step-by-step explanation:
Given that:
The ratio of band students to choir students is 4 : 6.
Total number of students in the band and choir combined = 60
To find:
The number of students in the band = ?
Solution:
First of all, let us understand the meaning of the ratio given.
Ratio of 4 : 6 means there are 4 number of band students for every 6 number of choir students.
Also, number of band students will be in the multiples of 4 only and
number of choir students will be in the multiples of 6 only
Let the total number of band students = 4![x](https://tex.z-dn.net/?f=x)
Let the total number of choir students = 6![x](https://tex.z-dn.net/?f=x)
Total number of students = 60
As per question statement, we can write the following equation:
![\Rightarrow 4x+6x=60\\\Rightarrow 10x = 60\\\Rightarrow x =6](https://tex.z-dn.net/?f=%5CRightarrow%204x%2B6x%3D60%5C%5C%5CRightarrow%2010x%20%3D%2060%5C%5C%5CRightarrow%20x%20%3D6)
Total number of band students = 4
6 = <em>24</em>