2070.14 – Ghanaian Shirts


Muneebah is the buyer for a large clothing company based in Cape Town, South Africa. She is currently in Ghana buying African fabric shirts, which she will send back to Cape Town. At one factory, she buys xx shirts at 3:00 for 290 Ghanaian Cedi (the Ghana currency), and at the next factory, this one has beautiful shirts, she buys 2x2x shirts at 5:00 for 490 Cedi. Write a formula for the total amount she spends on shirts as a function of xx. Evaluate your formula if she bought 100 shirts at the first factory. (xx and 2x2x are not the shirt sizes.)


Solution

The shirts at the first factory cost 2903\dfrac{290}{3} Cedi each. Thus she spent 290x3\dfrac{290x}{3} Cedi, or 96.67x96.67x Cedi at the first factory.

At the second factory the beautiful shirts cost 4905\dfrac{490}{5} Cedi each, so she spent 2x(4905)2x \left(\dfrac{490}{5}\right) or 196x196x Cedi there.

The total she spent was (96.67+196)x=292.67(96.67 + 196)x = 292.67 Cedi. There's the formula.

If she bought 100 shirts at the first factory she spent 29,267 Cedi. (You can go on line to see how many dollars this would be, but the more relevant conversion, since she's from South Africa, would be to see the equivalence between Cedi and South African rand.