Answer:
20 sweatshirts and 5 hats
Step-by-step explanation:
So, let's assign our variables.
x = sweatshirts
y = hats
Now, we can set up our system of equations.
x + y = 25
8x + 2.5y = 172.5
In this instance, you can use a variety of methods. I will use substitution.
x + y = 25
x = 25 - y
8(25 - y) + 2.5y = 172.5
200 - 8y + 2.5y = 172.5
200 - 5.5y = 172.5
-5.5y = -27.5
y = 5.5
Now, we can plug in y to solve for x.
8x + 2.5(5.5) = 172.5
8x + 13.75 = 172.5
8x = 158.75
x = 19.84
Now, this was very sloppy work, and now we must make sense of these answers as pertaining to the context of the equation. First, let's try 20 and 5.
20 + 5 = 25
8(20) + 2.5(5) = 172.5 It works!
