Ariana Grande is coming to North Gulfport Middle School for a fundraising benefit concert! Nevaeh is selling tickets. This week, she sold 3 kids tickets and 9 adult tickets for a total of $75. Last week, she sold 8 kids tickets and 5 adult tickets for $67. How much was each adult ticket, and how much was each kids ticket?

Step-by-step explanation:

Set up a systems of equations (x = kids, y = adults)

3x+9y=75 --> 15x+45y=375

8x+5y=67 --> 72x+45y=603

Subtract the two equations

57x = 228

x = 4

A KID'S TICKET IS $4

Plug that in for x

4(3)+9y=75

12+9y=75

9y=63

y=7

AN ADULT'S TICKET IS $7

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.