On the first day of the sale of tickets of a
drama, 35 tickets in all were sold. If the rates
of the tickets in all were Rs. 20 and Rs. 40.
per ticket and the total collection was Rs.
900 find the number of tickets sold at each
rate.
Answers
Step-by-step explanation:
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Answer:
25 tickets of Rs. 20 and 10 tickets of Rs. 40
Step-by-step explanation:
Let x tickets of Rs20 and y tickets of Rs40 be sold.
Given, x+y=35 -- (1)
And 20x+40y=900 => 2x+4y=90 --- (2)
Multiplying equation (1) with 2 we get, 2x+2y=70 ----- equation (3)
Subtracting equation (3)
from (2), we get 2y=20=>y=10
Substituting
y=10 in the equation (1), we get x+10=35=>x=25
Hence, 25 tickets of Rs.20 and 10 tickets of Rs.40 were sold.