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