You can buy t-shirts for 12$ each, polo shirts for 24$, and rugby shirts for 36$ each. suppose you want to have the same number of t-shirts as polo shirts. buying 200 shirts with a budget of $5400, how many of each shirt should you buy?

50 t-shirts, 50 polo shirts, 100 rugby shirts

Step-by-step explanation:

1) same number of T-shirts as polo shirts

  x (t- shirts) and x (polo shirts) = x + x

2) y rugby shirts

3) x+x+y = 200 shirts

  2x + y = 200

4) 12x + 24x + 36y = 5400

   36x + 36y = 5400

   36(x+y) = 5400

    x + y = 150

5) 2x + y = 200

 -   ( x + y = 150)

      x         = 50

6) 2x+y = 200

   2*50 + y = 200

  100 + y = 200

          y =100

7) check

12x + 24x + 36y = 5400

12*50 + 24*50 + 36 * 100 = 5400

5400 = 5400

14

step-by-step explanation:

14 x 3 = 42