Answer:
22.5 yards
Step-by-step explanation:
10 costumes at 2.25 yards each is ...
10 · 2.25 = 22.5 . . . . yards of material
Set x as adult tickets.
Set y as children's tickets.
x + y = 15
30x + 20y = 270
Solve for x in the first equation.
x + y = 15
x = 15 - y
Plug this into the second equation.
30x + 20y = 270
30(15 - y) + 20y = 270
450 - 30y + 20y = 270
450 - 10y = 270
-10y = -180
y = 18
If there is 18 childrens tickets, there should be -3 adult tickets.
This is impossible, and this impossible answer occured because the question is written wrong.
There are a total of 15 tickets
The smallest costing ticket is the childrens ticket, which costs 20$.
If he only bought children tickets, this would be 20x15 which is 300$.
300$ is over 270$, which makes the question impossible.
If you can graph in slope intercept, your new equations would be: y= -2x-1 and y= 2/3x-3.
Just graph those now since it should be easier.
I hope this picture helps :)