Question

Styline menswear ordered short-sleeve shirts for $23 each and long-sleeve shirts for $28.50 each from Tommy Hilfiger. If the total amounted to $9,862.50 for 375 shirts, how many short-sleeve were ordered?

Answer 1

Styline menswear ordered short-sleeve shirts for $23 each and long-sleeve shirts for $28.50

short-sleeve shirts for $23

long-sleeve shirts for $28.50

Total cost = $9,862.50

Let x be the number of short - sleeve

and y be the number of long  - sleeve

Total shirts = 375

x + y = 375

23x + 28.50y = 9862.50

Now we solve for x  

x + y = 375 ( subtract x on both sides)

So y = 375 - x

Now plug in 375 -x for y in second equation

23x + 28.50y = 9862.50

23x + 28.50(375 - x ) = 9862.50

23x + 10687.5 - 28.50x = 9862.50

subtract 10687.5  from both sides

23x  - 28.50x = -825

-5.5x = -825 (divide -5.5 on both sides)

x = 150

So number of short-sleeve = 150