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defon
2 years ago
5

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 a

re in the band?
Mathematics
1 answer:
xenn [34]2 years ago
5 0

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 = 4x

Let the total number of choir students = 6x

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 \times 6 = <em>24</em>

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