Let the cost of adult ticket is represented by a and cost of child ticket be c.
So we get
[tex] 3a+4c=23
\\
a+5c=15 [/tex]
Multiply second equation by -3 and adding the new equation with first equation , we will get
[tex] 3a+4c-3a-15c = 23-45
\\
-11c = -22
\\
c=2 [/tex]
Substituting the value of c in any of the two equations, we will get
[tex] a +5(2)=15
\\
a =5 [/tex]
So the cost of adult ticket is Euro 5 and of child ticket is Euro 2.
