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Tickets to a local movie were sold at $8.00 for adults and $5.50 for students. There were 220 tickets sold for a total of $1,385.00. Create and solve a system of equations to determine how many adult tickets and how many student tickets were sold.

Answer :

potatobean4eva

Answer:

system of equations:

8a+5.5s=1385

a+s=220

answer:

a=50

s=150

Step-by-step explanation:

let a=adults

let s=students

8a+5.5s=1385

a+s=220

a=70

s=150

Answer: 70 adults tickets and 150 student tickets were sold.

Step-by-step explanation:

Let x represent the number of adult tickets that were sold.

Let y represent the number of student tickets that were sold.

There were 220 tickets sold. It means that

x + y = 220

Tickets to a local movie were sold at $8.00 for adults and $5.50 for students. The tickets were sold for a total of $1,385.00. It means that

8x + 5.5y = 1385- - - - - - - - - 1

Substituting x = 220 - y into equation 1, it becomes

8(220 - y) + 5.5y = 1385

1760 - 8y + 5.5y = 1385

- 8y + 5.5y = 1385 - 1760

- 2.5y = - 375

y = - 375/- 2.5

y = 150

x = 220 - y = 220 - 150

x = 70

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