a local bus is carrying 40 passengers some with 50 paise tickets and remaining with rupees 1.50 tickets. if the total receipts from these passengers is rupees 32, find the number of passengers with 50 paise tickets.
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Answers
Let the number of passengers with 50 Paise (0.5 Rupee) tickets be x. Then, number of passengers with 1.50 Rupee tickets would be (40 - x) According to question, 0.5x + 1.5(40 - x) = 32 ⇒ 0.5x + 60 - 1.5x = 32 ⇒ -x + 60 = 32 ⇒ x = 28 ∴ Number of passengers with 50 Paise tickets is 28.
Answer:
the answer is 28 passengers have 50 paise ticket
here are the steps:
total no: of passengers=40
total amount=Rs 32 or 3200 paise
denominations no: of tickets total amount
50 paise x 50x
Rs1.5 or 150paise 40-x 150(40-x)
required equation
50x+150(40-x)=3200
50x+6000-150x=3200
-100x=3200-6000
-100x=-2800
'-'symbole cuts out
x=2800/100
x=28