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Question
There are 40 passengers in a bus, some with Rs. 3 tickets and remaining with Rs. 10 tickets. The total collection from these passengers is Rs. 295. Find how many passengers have tickets worth Rs. 3?
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Solution
Given, total number of passengers = 40
Let the number of passengers having tickets worth ₹ 3 be x.
Then, the number of passengers having tickets worth ₹ 10 = (40 – x)
Total collection from passengers = ₹ 295 ...[Given]
According to the question,
3x + 10(40 – x) = 295
⇒ 3x + 400 – 10x = 295
⇒ – 7x = 295 – 400
⇒ – 7x = – 105
⇒ x = `-105 xx ((-1)/7)`
∴ x = 15
Hence, the number of passengers having tickets worth ₹ 3 is 15.
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