SOLUTION: you are selling tickets to the school play. on friday night you made $134 by selling 13 student tickets and 7 adult tickets. On saterday night, you made $108 by selling 10 student

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: you are selling tickets to the school play. on friday night you made $134 by selling 13 student tickets and 7 adult tickets. On saterday night, you made $108 by selling 10 student       Log On


   

Question 721679: you are selling tickets to the school play. on friday night you made $134 by selling 13 student tickets and 7 adult tickets. On saterday night, you made $108 by selling 10 student tickets and 6 adult tickets. how much do the tickets cost?
total sold=
student tickets - 23
adult tickets - 13
total cost of tickets - 242
what do i do from here?????help?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
With this kind of problem, what they want you to
do is set up 2 equations and solve by some
means- elimination, substitution, etc.
Let +s+ = the cost of a student ticket
Let +a+ = the cost of an adult ticket
---------------------------------
(1) +13s+%2B+7a+=+134+
(2) +10s+%2B+6a=+108+
---------------------
Multiply both sides of (1) by +10+
Multiply both sides of (2) by +13+
Then subtract (1) from (2)
(2) +130s+%2B+78a+=+1404+
(3) +-130s+-+70a+=+-1340+
+8a+=+64+
+a+=+8+
and, since
(2) +10s+%2B+6a=+108+
(2) +5s+%2B+3%2A8+=+54+
(2) +5s+=+54+-+24+
(2) +5s+=+30+
(2) +s+=+6+
The cost of a student ticket is $6
The cost of an adult ticket is $8
check:
(1) +13s+%2B+7a+=+134+
(1) +13%2A6+%2B+7%2A8+=+134+
(1) +78+%2B+56+=+134+
(1) +134+=+134+
OK