Question

prize money of Rs900 is to be distributed among 11 children each girl is to revive Rs100 and each boy is to recive Rs 50. How many boys and how many girls are there​

Answer 1

Step-by-step explanation:

GIVEN:

$= = > \: let \: number \: of \:girls \: be \: x .\\ = = > \: let \: number \: of \: boys \: be \: y. \\ = = > total \: number \: of \: students = 11 \: children.$

$= = > 100 \times x + 50 \times y = 900 \\ = = > 100x + 50y = 900 - - - - - (1). \\ \\ = = > x + y = 11 \\ = = > x = 11 - y \: - - - - - - - - (2).$

NOW PUTTING THE VALUE OF "X" IN EQUATION 1ST WE GET:-

$= = > 100x + 50y = 900 \\ = = > 100(11 - y) + 50y = 900 \\ = = > 1100 - 100y + 50y = 900 \\ = = > 1100 - 50y = 900 \\ = = > 50y = 200 \\ = = > y = \frac{200}{50} = 4$

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==> NUMBER OF BOYS = Y = 4 ,

==> NUMBER OF GIRLS = X = 11-Y =11-4 =7 ,

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YOU CAN VERIFY YOUR ANSWERS :-

GIVEN : TOTAL NUMBER OF STUDENT = 11 CHILDREN

x+y= 7+4 = 11 students

THUS VERIFIED.

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Answer 2

Given : prize money of Rs 900 is to be distributed among 11 children each girl is to receive Rs 100 and each boy is to receive Rs 50

To find : number of boys & girls

Solution:

Prize money = Rs 900

Total Children  = 11

Let say total Girls = G

=> Total Boys  = 11 - G

Each girl to receive Rs 100

Hence amount received by Girls = 100G   Rs

Each Boy to receive Rs 50

Hence amount received by boys = 50(11 - G)  = 550 - 50G   Rs

Total Amount  = 100G + 550 - 50G

= 50G + 550

50G + 550  = 900

=> 5G + 55 = 90

=> 5G = 35

=> G = 7

Number of Girls = 7

Number of Boys = 11 - 7 = 4

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