Question

Certain number of persons comprising adults and children went to an exhibition. Entry ticket for the children is Rs 1.50 and Rs 4.50 for the adults. Total cost of the tickets come out to be Rs 600.

Which of the following pairs of numbers can be the number of adults and childrens?

Answer 1

Let x be the number of adults and y be the number of children.

Then according to given situation,

4.50x + 1.50y = 600

⇒ 3x + y = 400

⇒ y = 400 – 3x ...(1)

Checking all options one by one:

(a) 90, 70

So, Put x = 90 in (1), we get y = 400 – 3 (90) = 130 ≠ 70

(b) 100, 60

Put x = 100 in (1), we get y = 400 – 3(100) = 100 ≠ 60

(c) 110, 50

Put x = 110 in (1), we get y = 400 – 3(110) = 70 ≠ 50

(d) 120, 40

Put x = 120 in (1), we get y = 400 – 3(120) = 40

∴ (120, 40) satisfies (1)

∴ Number of adults = 120 and number of children = 40.