In a movie theatre, the price of the ticket per kid is $2 while per adult it is $5 . On a particular day, 2000 people bought tickets and an amount of $5,050 was collected. Find the number of $2 tickets sold on that day.
Given:
Price per kid's ticket = $2
Price per adult's ticket = $5
Total people = 2000
Total amount collected = $5,050
Solution:
Let the number of $2 tickets sold be x (kids), and the number of $5 tickets sold be y (adults).
Now, from the condition;
x + y = 2000………(1)
2x + 5y = 5050……(2)
Subtracting 5×eqn(1) – eqn(2)
We get,
3x = 4950
x = ₹1650
Thus, The number of $2 tickets sold is 1,650.
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Assertion (A) | Reason (R) |
The system of equations: | System of equations |
On a particular day each of Danny, Edwin and Fahim sold three types of pens from their respective shops. Danny and Edwin sold an identical number of pens of Type A while Fahim sold twice as many pens of Type A as each of Danny and Edwin sold. The ratio of the numbers of pens of Type B sold by Danny, Edwin and Fahim was 3 : 5 : 2 respectively, while each of the trio sold an identical number of pens of Type C. The three sellers sold each of the types of pens at different prices per unit.
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Reason (R): Framing and solving the three possible linear equations we will find that we get a unique solution.
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