Makakuha ng eksaktong mga sagot sa iyong mga tanong sa IDNStudy.com. Makakuha ng mga sagot sa iyong mga tanong mula sa aming mga eksperto, handang magbigay ng mabilis at tiyak na solusyon.

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 :

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