Question

200 tickets were sold in a school’s annual musical performance. Students' tickets cost $2.50 each and parents tickets cost $3.50 each. The total amount collected was $537. How many tickets were sold for parents?

Answer 1

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