Answer:
small posters cost $2.30 each
large posters cost $4.95 each
Step-by-step explanation:
Let
price of large poster be "l", and
price of small poster be "s"
$16.80 for 2 large and 3 small, we can write:
2l + 3s = 16.80
Then,
$14.15 for 1 large and 4 small, we can write:
l + 4s = 14.15
We can write this as:
l = 14.15 - 4s
Now we substitute this expression for "l" into first equation and solve for s first:
[tex]2l+3s=16.80\\2(14.15 - 4s)+3s=16.80\\28.30-8s+3s=16.80\\5s=11.5\\s=2.30[/tex]
small posters cost $2.30 each
Now, we know l = 14.15 - 4s, so
l = 14.15 -4(2.30)
l = 4.95
large posters cost $4.95 each
