Question

a cinema sold 200 tickets for rupees 22620 if the denomination of the tickets where rupees 100 and 120 how many tickets of each denomination were sold

Answer 1

Answer:

69 tickets under Rs.100 denomination and

131 tickets under Rs.120 denomination were sold

Step-by-step explanation:

let x and y be the number of tickets sold under denominations,100 and 120 resply.

given, x+y = 200 (Total tickets sold) ---------------- (1)

also, 100x + 120y = 22620 (total collection) -----------(2)

(2) - (1)*100 =>

100x + 120y - (100x+100y) = 22620 - 20000

=> 100x - 100x + 120y - 100y = 2620

=> 20y = 2620

=> y = 2620/20

=> y = 131

substitute y = 131 in (1)

=> x + 131 = 200

=> x = 200-131

=> x = 69