ABCD is a parallelogram. If side AB = 8x - 14, side BC = 4x - 5, and side CD = 4x + 10, find the value of x.

Step-by-step explanation:

number of students ticket sold = x

number of parent tickets sold = y

If a total of 96 tickets were sold

x+ y =96          eq 1

If a total of 96 tickets were sold for $306.25

2.50x + 3.75y=306.25   eq 2

x+ y =96

y=96-x

substitute value of y in equation 2

2.50x + 3.75 (96-x)=306.25

2.50x + 360 -3.75x =306.25

- 1.25 x = -53.75

x = 43

therefore the answer would be y=96-x=96-43=53