Math word problem

Question

if every shirt costs the same no matter how many you order and there is a one time order fee, how much does each shirt count and how much is fee if.....

 

50 shirts cost $374.50

500 shirts cost $2370

Answer 1

We will need two equations, which we can solve by substitution.

Let s = shirt cost, and let f = order fee

The first equation is f + 50s= $374.50

The second equation is f + 500s = $2370.00

In both equations, the value for f is the same ("one time order fee")

Let's solve the first equation for f to get f = $374.50 - 50s

 

Then, we will substitute that value for f in the second equation to get

$374.50 - 50s + 500s = $2370.00

450s = $1995.50

solving, s = $4.43444

 

The fee then equals 50 x $4.43444 + f = $374.50 - 221.72, and f = $152.78

 

To check, we will put that value into the second equation, to get

500 x $4.4344 + $152.78 = $2217.20 + $152.78 = $2369.98