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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?

Respuesta :

SvetkaChem

Answer:

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

trinityis

Answer:

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

Step-by-step explanation:

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