Neetas volvo bus takes 50 boys to a field trip. Some of them take Rs. 20 tickets while the rest take Rs. 45 tickets. If the total cost of tickets purchased is Rs.2000, how many boys took the tickets of Rs. 20 each?
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1
Answer:
10
Step-by-step explanation:
Let the boys who took 20 Rs. ticket be x and the boys who took 45 Rs. ticket be y.
According to first condition,
x + y = 50 ... (i)
According to second condition,
20x + 45y = 2000
Dividing throughout by 5,
4x + 9y = 400 ... (ii)
Multiplying equation (i) by 9,
9x + 9y = 450 ... (iii)
Subtracting equation (ii) and (iii),
9x + 9y = 450
- 4x + 9y = 400
___________
5x = 50
x = 50/5
x = 10
The number of boys who took 20 Rs tickets is 10.
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