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Tickets to a play cost ₱5 for adults and ₱2 for children. If 1,750 tickets were sold for a total of ₱7,100, how many children’s tickets were sold?

Sagot :

Shinalcantaraidn
let 'x' be the number of Php5 tickets (adult)
     'y' be the number of Php2 tickets (children)
x + y = 1,750    ----equation 1
5x + 2y = 7,100 ----equation 2
multiply equation 1 with 2
[x + y = 1,750]  x2
2x + 2y = 3,500  ----equation 1'
subtract equation 1' from equation 2
     5x + 2y = 7,100
-    2x + 2y = 3,500
     3x + 0y = 3,600
    3x = 3,600
      x = 1,200 tickets
substitute x=1200 to equation 1
x + y = 1,750
1200 + y = 1,750
 y = 1,750 - 1200
 y = 550 tickets