Jacob's family bought 4 adult tickets and 2 student ticket to the school play for $64. Tatianna's family bought 3 adult tickets and 3 student tickets for $60. How much does each type of ticket cost?
Let cost of adult ticket = x
And cost of student ticket= y
Jacob's purchase,
4x + 2y = 64 ....(1)
Tatianna's purchase,
3x+3y = 60 ......(2)
Multiplying equation 1 from 3 and equation 2 from 4 and subtracting them,
12x+6y - 12x - 12y= 192 - 240
-6y = -48
y = $8
Putting the value of y in equation 1,
4x + 2×8 = 64
4x = 64-16
4x = 48
x = 48/4
x = $12