Answer:
The cost for adult tickets be represented by x = $5
The cost for student tickets be y = $2
Explanation:
Let the cost for adult tickets be represented by x
the cost for student tickets be y
The Montague family and their neighbors the Capulets attended the school play together. The Montagues bought two adult tickets and three student tickets for $16.
= 2x + 3y = 16... Equation 1
The Capulets purchased three adult tickets and two student tickets for $19.
3x + 2y = 19 ..... Equation 2
How much was each adult and student ticket?
2x + 3y = 16... Equation 1
3x + 2y = 19 ..... Equation 2
We solve using Elimination method
Multiply Equation 1 by 2 and Equation 2 by 3 to eliminate u
4x + 6y = 32..... Equation 3
9x + 6y = 57.... Equation 4
Subtract Equation 4 from 3
-5x = -25
x = 25/5
x = $5
2x + 3y = 16... Equation 1
Since x = $5
2($5) + 3y = 16
10 + 3y = 16
3y = 16 - 10
3y = 6
y = 6/3
y = $2
Therefore:
The cost for adult tickets be represented by x = $5
The cost for student tickets be y = $2