Question

Question 103

Solve the following:

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?

Answer 1

Given, total number of passengers =40
Let the number of passengers having worth Rs. 3 be x.
Then, the number of passengers having tickets worth Rs.10=(40-x)
Total collection from passengers =Rs. 295
According to the question,
3x+10(40-x)=295
$\Rightarrow 3x+400-10x=295\Rightarrow -7x=295-400\Rightarrow -7x=-105\Rightarrow x=-105\times \left(\frac{-1}{7}\right)\therefore x=15$
Hence, the number of passengers having tickets worth Rs. 3 is 15.