Me and three friends are trying to find the answer to a question I posed about a self-service drinks machine in our local Burger King:
There is a drinks machine that has 7 varieties of drinks (coke, lemonade, orange-aid etc) and each drink has seven varieties of flavor (vanilla coke, lime coke, vanilla lemonade, lime lemonde etc). If you can choose the ratios of the different drinks in your cup, could you make an infinite number of different flavored drinks?
My friends feel it is important to point out that the cup is 500ml ( I don't think this makes any difference).
So far no-one believes me in saying it is infinite, even after we sent the same questions as stated above to a renowned text answering service, whose answer was:
There is an infinite number of drinks combinations with 7 drinks varieties with 7 flavors if you can choose the ratios, as there are infinite numbers.
My friends response to this was that they (the text answering service) didn't understand the question and got it wrong.
I hope you can answer my question and, if I am right, could you please explain your answer so my friends won't think you have misunderstood the question as well.