Glamour Garment makes two styles of outfits. Teh sporty suit used 2 zippers and 5 designer buttons. The evening gown uses 1 zipper and 8 designer buttons. They currently have in stock 171 zippers and 576 buttons. How many of each style outfit can they make without ordering more zippers and buttons?

We let x and y represent the number of Outfits A and B, respectively. Such that the number of zipper that each will use are 2x and y, respectively. The number of designer buttons that each will require can also be expressed as 5x and 8y, respectively. The mathematical equations that would best represent the scenario are,

2x + y = 171

5x + 8y = 576

The values of x and y are 72 and 27, respectively. Thus, the company will be able to make 72 outfit A and 27 of outfit B.