Question

Each student paid 60 rupees for the picnic. As there were 45 students ___ rupees were collected. If there were 50 students ___ rupees would have been collected. The number of students and money collected are in ____ proportion. *

Answer 1

Answer:

Step-by-step explanation:

a) 2700

b)3000

c)1:60

Answer 2

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−x

2

+60x−x

2

=1600

⇒ −2x

2

+120x−1600=0

⇒ −2(x

2

−60x+800)=0

⇒ x

2

−60x+800=0

⇒ x 2

−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