TICKETS FOR A DINNER SHOW WERE PHP 300 FOR A SINGLE TICKET OR 450 FOR A COUPLE TICKETS. IF 540 PEOPLE ATTENDED THE SHOW AND PHP198,000 WAS COLLECTED FROM THE TICKET SALES, HOW MANY COUPLE AND SINGLE TICKETS WERE SOLD?
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Single Tickets Price: 300
Couple Tickets Price: 450
let no. of single tickets sold= x
no. of couple tickets sold= y
No. of people who attended the show= 540
∴Total no.of tickets sold:
x+y=540 (X2)-----(i)
2x+2y=1080 -------(ii)
300x+450y=198000
(divding by 150 on either sides)
∴2x+3y=1320---- (iii)
(iii)-(ii)
2x+3y=1320
-2x-2y= -1080
=> y= 240
∴ 240 Couple tickets were sold
replacing y value in (i)
x+240= 540
=> x= 540-240
=> x= 300
∴ 300 Single tickets were sold
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Answer:
easy use delta formula
Step-by-step explanation:
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