Tickets for a school event were $2.50 for students and $3.75 for parents. If a total of 96 tickets were sold for $306.25 , how many student and parent tickets

Question

were sold?

Answer 1

let's consider

 

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

 

so  y=96-x=96-43=53

 

 

number of students ticket sold = x=43
number of parent tickets sold = y=53