At the theater, the Seward family bought 2 adult tickets and 3 children's tickets for $44.50. The Sena family bought 3 adult tickets and 6 children's tickets for $78. Find the price of an adult ticket and the price of a child's ticket.

Respuesta :

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