75 passengers are traveling in a bus. Some passengers are carrying 5 rupee tickets and remaining are carrying 10 rupee tickets. the total fare recieved by the bus driver is 580 rupee. find the number of passengers carrying 5 and 10 rupee tickets
Answers
Answer:
Passengers carrying 5 ₹ ticket = x = 34.
passengers carrying 10 ₹ ticket = 75 - x = 75 - 34 = 41
Step-by-step explanation:
Let the number of passengers carrying Rs 5 tickets be a
So total number of passengers are 75.
Now the number of passengers carrying Rs 10 tickets will be 75 – x
According to question total amount collected by the conductor is Rs. 580.
Thus,
5x + 10(75 – x) = 580
=> 5x + 750 – 10x = 580
=> 5x – 10x = 580 – 750
=> -5x = - 170
=> x = (-170) / (-5) = 34
Hence, x = 34
Thus passengers carrying 5 ₹ ticket = x = 34
And passengers carrying 10 ₹ ticket = 75 - x = 75 - 34 = 41
Answer:
34 and 41
Step-by-step explanation:
75passengers are travelling in a bus. Some passengers are carrying 5 tickets and remaining are carrying 10 tickets. The total fare received
by the conductor is 580.Find the number of passengers carrying:
a. 5 ticket b. 10 ticket
Let the number of passengers carrying Rs 5 tickets be a
So total number of passengers are 75
Now the number of passengers carrying Rs 10 tickets will be 75– x
According to question total amount collected by the conductor is Rs 580
So 5x + 10(75 – x) = 580
5x + 750 – 10x = 580
5x – 10x = 580 – 750
-5x = - 170
So x = 34
Now the number of passengers carrying Rs 5 tickets will be 34 and number of passengers carrying Rs 10 tickets will be 75 – 34 = 41