Answer:
Adult ticket is $7.5 while a child's ticket is $11
Step-by-step explanation:
Given data
Let the cost of an adult ticket be x
and the cost of a child ticket be y
The Seward family
2x+3y= 44.50---------1
The Sena family
3x+6y= 78-------------2
solve 1 and 2
2x+3y= 44.50 X2
3x+6y= 78 X1
4x+6y= 89
- 3x+6y= 78
x+ 0= 11
x= 11
put x= 11 in 1
2x+3y= 44.50
2*11+3y= 44.5
22+3y=44.5
3y= 44.5-22
3y= 22.5
y= 22.5/3
y= 7.5
Hence Adult ticket is $7.5 while a child's ticket is $11