Tickets to the concert were $2.50 for adults and $1 for students. $1200 was collected and 750 tickets were sold. write a system of linear equations that can be used to find how many adults and how many students attended the concert. how many adults and students attended?

300 adults and 450 children

Step-by-step explanation:

Let the number of adults be x and the number of students be y , then

x + y = 750 equation 1

the cost of a ticket for adult is $2.50 , that means for x adults , the cost is $2.50x . Also , the cost of ticket for student is $1 , this means that the cost of ticket for y students is $y , writing this in equation form , we have

2.5x + y = 1200 equation 2

Therefore : the system of linear equations that can be used to find how many adults and how many students attended the concert is

x + y = 750

2.5x + y = 1200

solving the system of linear equation by substitution method , from equation 1 make x the subject of the formula , that is

x = 750 - y equation 3

substitute x = 750 - y into equation 2 , that is

2.5 ( 750 - y ) + y = 1200

1875 - 2.5y + y = 1200

1875 - 1.5y = 1200

1.5y = 1875 - 1200

1.5y = 675

y = 675/1.5

y = 450

substitute y = 450 into equation 3 , we have

x = 750 - y

x = 750 - 450

x = 300

Therefore , 300 adults and 450 children entered

Step-by-step explanation: