Question

The ratio of band students to choir students is 4:6. There are a total of 60 students in the band and choir. How many students are in the band?

Answer 1

24

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`

Let the total number of choir students = 6
`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`

Total number of band students = 4
`*` 6 = 24