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# Cost of a bus ticket from Hyderabad to Nalgonda for a child is Rs. $65$ and for an adult it is Rs. $110$. Find the total cost of tickets for $3$ children and $4$ adults

Last updated date: 20th Jun 2024
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Hint: In the given question, price of bus ticket for one child is given, also price of bus ticket for one adult is given. We multiply the cost of a bus ticket of one child with $3$ and price of one adult with $4$ and then add them to get the total cost.

The price of a ticket for one child is Rs. $65$, so the price of tickets for $3$ children will be given as $65 \times 3 = 195$.
So the price of tickets only for children will be Rs. $195$.
Now, the price of a bus ticket for a single adult is Rs. $110$, so for finding the price of tickets for $4$ adults, we can simply multiply it by $4$, which gives us $110 \times 4 = 440$.
Now, we have the price of tickets of $3$ children and $4$ adults as Rs. $195$ and Rs. $440$ respectively.
To find the total cost, we can simply add the two prices and get the total amount.
Thus, on adding we get $195 + 440 = 635$.
So, the total cost of tickets for $3$ children and $4$ adults comes out to be Rs. $635$.

Note: Another method of solving this question is assigning the variables to the price of a ticket of one child and one adult.
So, if we assume the price of ticket of one child as $x$ and price of ticket of one adult as $y$, it is given in the question that $x = 65$ and $y = 110$ which can be denoted as equation (1) and (2) respectively.
The required value is of $3x + 4y$.
To find this, we multiply equation (1) with $3$ and equation (2) with $4$and add them.
On multiplying we get, $3x = 65$ and $4y = 440$.
Now if we add the left hand sides we get $3x + 4y$, which is asked in the question.
So the right hand sides after being added gives $195 + 440 = 635$, which is the required answer.