Question

The cost of tickets of a comedian show of 'Gaijatra' is Rs 150 for an adult and Rs 50 for a child. If a family paid Rs 550 for 5 tickets, how many tickets were purchased in each category?​

Answer 1

3 adult and 2 child tickets were purchased

Explanation:

let a be the number of adults and c the number of children , then

a + c = 5 ( subtract a from both sides )

c = 5 - a → (1)

150a + 50c = 550 → (2)

substitute c = 5 - a into (2)

150a + 50(5 - a) = 550

150a + 250 - 50a = 550

100a + 250 = 550 ( subtract 250 from both sides )

100a = 300 ( divide both sides by 100 )

a = 3

substitute a = 3 into (1)

c = 5 - 3 = 2

there were 3 adult and 2 child tickets purchased