Eden bought 15 tickets to a soccer game. The group rate saved her $4.75 per ticket. She paid a total of $307.50 for the tickets. What was the regular price of a ticket to the game?
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Let the number of tickets sold at the rate of Rs. 20 be x and at the rate of Rs. 40 be y.
According to first condition,
No. of tickets sold at Rs. 20+ No. of tickets sold at Rs. 40= Total No. of Tickets sold (i.e.) 35 tickets
∴ x+y=35 ...(1)
According to second condition,
Amount received by selling Rs. 20 tickets + Amount Received by selling Rs. 40 Tickets = Total Collection received (i.e.) Rs. 900
∴20x+40y=900
∴ 20(x+2y)=900
∴ x+2y=45 ...(2)
Subtracting Equation (1) From Equation (2)
x+2y=45
x+y=35
−−−
__________
y=10
_________
Substituting y=10 in equation (1)
∴x+y=35
∴ x+10=35
∴ x=35−10
∴ x=25
∴ 25 tickets of Rs. 20 and 10 tickets of Rs. 40 were sold on the first day of the sale of tickets of a drama.
15 tickets = 20 tickets I did so
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