Question

In a music school 70% students are boys: If the total number of girls is 255
Find out the number of the boys?
(a) 575
(b) 595
(C)850
(d) None of these

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Answer 1

Answer:

If 70% students are boys so (100-70)% will be girls i.e 30%

If 30% of the total are girls

let the total = x

:30/100 × x = 255

x = 255×100/30

x = 850

Thus there are total 850 students

and boys are 850 - 255 = 595 boys

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Answer 2

Given : In a music school 70% students are boys: If the total number of girls is 255

To find : The number of boys.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the number of boys)

W.r.t. percentage, the total student will be considered as 100%

So, the percentage of girls :

= 100% - percentage of the boys

= 100% - 70%

= 30%

Let, the number of total students = x

So, the number of girls :

= x × 30%

= x × (30/100)

= 3x/10

According to the data mentioned in the question,

3x/10 = 255

x = 255 × (10/3)

x = 850

So, the total number of students = 850

Now, the number of boys :

= Total students - The number of girls

= 850 - 255

= 595

(This will be considered as the final result.)

Hence, the number of boys is 595