Math, asked by manjunathmanju162003, 5 months ago

uat
9.
In a class of 60 students, each boy contributed rupees equal to the number of girls and
each girl contributed rupees equal to the number of boys. If the total money then collected
was 1600. How many boys are there in the class?
CA1​

Answers

Answered by appy91
1

Answer:

20 or 40

Step-by-step explanation:

Let boys be x, then girls be 60−x

⇒  Contribution by boys =x(60−x)

⇒  Contribution by girls =(60−x)x

⇒  Total money collected =Rs.1600

∴  60x−x2+60x−x2=1600

⇒  −2x2+120x−1600=0

⇒  −2(x2−60x+800)=0

⇒  x2−60x+800=0

⇒  x2−40x−20x+800=0

⇒  x(x−40)−20(x−40)=0

⇒  (x−40)(x−20)=0

∴   x=40 and x=20

∴  Number of boys in class are 20 or 40

Answered By

appy91

Answered by princysaini49
0

Answer:

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Step-by-step explanation:

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