Q:

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?

Accepted Solution

A:
Answer:50 t-shirts, 50 polo shirts, 100 rugby shirtsStep-by-step explanation:1) same number of T-shirts as polo shirts   x (t- shirts) and x (polo shirts) = x + x2) y rugby shirts3) x+x+y = 200 shirts   2x + y = 2004) 12x + 24x + 36y = 5400    36x + 36y = 5400    36(x+y) = 5400     x + y = 1505) 2x + y = 200  -   ( x + y = 150)       x         = 506) 2x+y = 200    2*50 + y = 200   100 + y = 200           y =1007) check12x + 24x + 36y = 540012*50 + 24*50 + 36 * 100 = 54005400 = 5400