Case Study : Q. 31 to 35 |
Mr Gaurav decided to go to a amusement park along with his family. The cost of a entry ticket is Rs. 25.00 for children and Rs.50.00 for adults. On that particular day, attendance at the circus is 2,000 and the total gate revenus is Rs. 70,000. |
Based on the given information, give the answer of the following questions: |
A) \[\text{x}+\text{ y}=\text{2}000\]and \[x+2y=2800\]
B) \[\text{x}+\text{2y}=\text{2}000\]and \[\text{x}+\text{y}=\text{28}00\]
C) \[\text{2x}+\text{y}=\text{2}000\]and \[\text{x}+\text{y}=\text{28}00\]
D) \[\text{x}+y=\text{2}000\]and \[\text{2x}+\text{y}=\text{28}00\]
Correct Answer: A
Solution :
We have, x = the number of children and y = the number of adults who visited the amusement park on that particular day. |
The total attendance = 2,000. |
Therefore, \[x+y=2000\] ... (1) |
As the ticket for a child is Rs.25 and for an adult is Rs.50, the total revenue is: |
\[25x+50y=70000\] |
Dividing both sides by 25, we get |
\[x+2y=2800\] ...(2) |
Hence, the system of linear equations describing the given situation is \[x+y=2000\]and \[x+2y=2800\]. |
So, option [a] is correct. |
You need to login to perform this action.
You will be redirected in
3 sec