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Question

Rajeev bought some army day tickets for Rs.5 and Rs.10. if he spent Rs.150 and bought 18 tickets in all, find how many tickets of each kind he bought?

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Solution


Let the number of tickets of Rs 5 bought = x
Let the number of tickets of Rs 10 bought = y.
Therefore, the total amount paid = 5x + 10 y = 150 (given)
Total number of tickets = x + y = 18 (given) y = 18 - x
Substituting for y in first equation,
5x + 10(18 - x) = 150
5x + 180 - 10x = 150
180 - 150 = 10x - 5x = 5x
30 = 5x or x=305 = 6 and y = 18 - 6 = 12.
Hence, he purchased 6 Nos Rs 5 tickets and 12 Nos Rs 10 tickets

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