Question

₹2450 were divided among 65 children. If each girl gets ₹50 and each boy gets ₹30 then the number of girls are :

Answer 1

Step-by-step explanation:

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Answer 2

The number of girls = 25

Given :

• ₹2450 were divided among 65 children.

• Each girl gets ₹50 and each boy gets ₹30

To find :

The number of girls

Solution :

Step 1 of 2 :

Form the equation to find the number of girls

Let number of girls = x

Since total number of children = 65

∴ Number of boys = 65 - x

Since each girl gets ₹50 and each boy gets ₹30

So by the given condition

$\displaystyle \sf 50x + 30( 65 - x) = 2450$

Step 2 of 2 :

Calculate number of girls

$\displaystyle \sf 50x + 30( 65 - x) = 2450$

$\displaystyle \sf{ \implies 50x + 1950 - 30x = 2450}$

$\displaystyle \sf{ \implies 50x - 30x = 2450 - 1950}$

$\displaystyle \sf{ \implies 20x = 500}$

$\displaystyle \sf{ \implies }x = \frac{500}{20}$

$\displaystyle \sf{ \implies }x = 25$

Hence number of girls = 25

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