# 2000 tickets were sold in an exhibition. the cost of a ticket for adult is Rs 40 and for children is Rs 20. The total amount collected was 64000 Rs.Find the number of adult tickets and child tickets sold.?

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by hiba

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by hiba

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'y' be the number of tickets for children (@20)

since the total number of tickets is 2,000 then you'll have the equation as

x + y = 2000 ---equation 1

for the total amount:

40x + 20y = 64,000 ---equation 2

from equation 1

x + y = 2,000

x = 2,000 - y ------equation 1'

substitute equation 1' to equation 2

40x + 20y = 64,000

40(2,000 - y) + 20y = 64,000

80,000 - 40y + 20y = 64,000

80,000 - 64,000 = 40y - 20y

16,000 = 20y

20y = 16,000

substitute y=800 to equation 1'

x = 2,000 - y

x = 2,000 - 800