word problem total of each ticket

Question

Marc sold 531 tickets for the school play. Student tickets are $2 and adult tickets are $3. If Marc sales totaled $1341, how many of each ticket did he sell?

Answer 1

Number of student tickets = x

number of adult ticket = y

 

x+y=531   _________eq 1

 

2x+3y=1341  _________eq 2

 

 

x+y=531

 

x=531-y

 

substitute value of x in eq 2

 

2(531-y) +3y =1341

 

1062 -2y +3y=1341

 

1062+y=1341

y=279

 

x=531-279=252

 

Number of student tickets = x=252
number of adult ticket = y=279