For a show, two types of ticket were sold, one costing Rupees 250 and other costing 100. Total number of tickets sold were 65 and total collection was 4,500. Find the number of tickets sold of each type.
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Answer:
The number of ₹ 50 tickets = 40 and the number of ₹ 100 tickets = 25
Step-by-step explanation:
Let the number of ₹ 50 tickets = x and
The number of ₹ 100 tickets = y
To find, the number of tickets sold of each type = ?
According to question,
x + y = 65
And, 50x + 100y = 4500
Multiplying equation (1) by 100, we get
100x + 100y = 6500
Subtracting (3) from (2), we get
100x + 100y - (50x + 100y) = 6500 - 4500
⇒ 100x + 100y - 50x - 100y = 6500 - 4500
⇒ 50 x = 2000
⇒ x= 2000/50 =40
Putting the value of x in equation (1), we get
40 + y = 65
⇒ y = 65 - 40 = 25
Thus, the number of ₹ 50 tickets = 40 and the number of ₹ 100 tickets = 25.
Step-by-step explanation:
answers is 40 and 25. the