Question

Write and solve the system of equations below. Let a represent adults and let c represent children.





1,200 tickets were sold to the spring carnival. Adult tickets cost $6.00 and children's tickets cost $3.50. A total of $6,450 was collected. How many tickets of each kind were sold?

A.


a = 800, c = 400




B.


a = 900, c = 300




C.


a = 1,000, c = 200




D.


a = 1,100, c = 100

Answer 1

Process

Let x be the number of adult tickets sold and y be the number of children's tickets told.

x + y = 1200, from this you know that 6x + 6y = 7200

6x + 3.5y = 6450

Subtract the two equations and you get 2.5y = 750, y = 300

x = 1200 - y = 1200 - 300 = 900

Answer 2

Best answer:


900 adult tickets and 300 children's tickets were sold.

Answer 3

1,200 tickets were sold to the spring carnival. => a + c = 1200 ---(1)
Adult tickets cost $6.00 and children's tickets cost $3.50. A total of $6,450 was collected. => 6a + 3.5c = 6450 ---(2)
How many tickets of each kind were sold? => Solve for a and c

Answer 4

Answer would be 900 adult tickets, 300 children tickets.

Answer 5

Hit the Best response button if I helped ;D