Question

280 oranges are divided among 50 girls & boys so that each boy gets 5 oranges & each girl get 7 oranges how many boys are there ?​

Answer 1

Step-by-step explanation:

कुल संतरे = 280

लड़कों और लड़कियों की कुल संख्या = 50

माना लड़के = x

लड़कियां = y

यानी x + y = 50 ------(1)

प्रत्येक लड़के को 5 और प्रत्येक लड़की को 7 संतरे

प्राप्त होते हैं ।

अर्थात 5x + 7y = 280 ------(2)

समी.(1) का 5 से गुणा करने पर

5x + 5y = 250 --------(3)

समी.(2) -- (3) से

2y = 30

y = 15

समी.(1) से

x + 15 = 50

x = 35

लड़कों की संख्या (x) = 35

लड़कियों की संख्या (y) = 15

Answer 2

Answer:

The final answer to the given question is the total number of boys is 35.

Step-by-step explanation:

The given data

Total number of oranges =280

Number of boys and girls=50

No of oranges boy should get =5

Several oranges a girl should get = 7.

To find :

A number of boys in the class?

Solution :

let x be the number of boys in the class and y are the number of girls.

of boys in the class and y are the number of girls.Let us write an equation using an above data

of boys in the class and y are the number of girls.Let us write an equation using an above dataTotal number of boys and girls

of boys in the class and y are the number of girls.Let us write an equation using an above dataTotal number of boys and girls $x + y = 50 - - (1)$

of boys in the class and y are the number of girls.Let us write an equation using an above dataTotal number of boys and girls $x + y = 50 - - (1)$No oranges each should get

of boys in the class and y are the number of girls.Let us write an equation using an above dataTotal number of boys and girls $x + y = 50 - - (1)$No oranges each should get $5x + 7y = 280 - - - - (2)$

of boys in the class and y are the number of girls.Let us write an equation using an above dataTotal number of boys and girls $x + y = 50 - - (1)$No oranges each should get $5x + 7y = 280 - - - - (2)$If both boys and girls get 5 oranges each, then the equation will become

ys and girls get 5 oranges each, then the equation will become $5x + 5y = 250 - - - - (3)$

ys and girls get 5 oranges each, then the equation will become $5x + 5y = 250 - - - - (3)$let's subtract equation 3 from 2, we get

ys and girls get 5 oranges each, then the equation will become $5x + 5y = 250 - - - - (3)$let's subtract equation 3 from 2, we get$5x + 7y = 280 \\ 5x + 5y = 250 \\ - \: \: \: \: \: \: \: \: \: \: \: \: \: \ - \\ 2y = 30 \\ y = 15$

ys and girls get 5 oranges each, then the equation will become $5x + 5y = 250 - - - - (3)$let's subtract equation 3 from 2, we get$5x + 7y = 280 \\ 5x + 5y = 250 \\ - \: \: \: \: \: \: \: \: \: \: \: \: \: \ - \\ 2y = 30 \\ y = 15$The number of girls is obtained as 15.

By using this we can obtain the total number of boys

substitute y in equation 1.

$x + y = 50 \\ x + 15 = 50 \\ x = 50 - 15 \\ x = 35$

The total number of this is 35.

#spj5