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Advocard [28]
3 years ago
10

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?
Mathematics
1 answer:
Archy [21]3 years ago
6 0

Answer: 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:

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