Miguel is selling tickets to a barbecue. adult tickets cost $8.00 and children's tickets cost $5.00. he sells seven more children's tickets than adult tickets. the total amount of money he collects is $269.00. how many adult tickets and how many chidrents tickets did he sell?
tickets

Adult tickets = 18

Children tickets = 25

Step-by-step explanation:

We can write 2 equations and solve:

let number of adult tickets be a and number of children tickets be c

Adult ticket cost is 8 and children cost is 5 and total money is 269, thus:

1. 8a + 5c = 269

Also, he sells seven more children's tickets than adult tickets, thus:

2. c - 7 = a

Now substituting 2 into 1, we can solve for c:

8a + 5c = 269

8(c-7) + 5c = 269

8c - 56 + 5c = 269

13c = 325

c = 325/13 = 25

Now using equation 2, we can solve for a:

c - 7 = a

25 - 7 = a

a = 18

So, 18 adult tickets and 25 children's ticket