is that spelled with an em-dash?

[sev]

If half my guests will be drinking twice as much white wine as red wine, but the other half of my guests will drink 50% more wine total than the first half and will drink three times as much red wine as white wine, what ratio of red wine to white wine should I purchase?

(thirteen bottles of red for each eleven bottles of white, by my math.)






(I did that in pen.)

Comments

[xlerb.livejournal.com]

Huh. I got 7 red to 5 white. Okay, let's try that again... (2/3)w + (1/3)r + 3/2*((1/4)w + (3/4)r) = (2/3)w + (3/8)w + (1/3)r + (9/8)r = ((16+9)/24)w + ((8+27)/24)r = (25/24)w + (35/24)r ∝ 25w + 35r ∝ 5w + 7r

Or, disposing of the fractions: assume the first set of guests drinks 16 bottles of white and 8 bottles of red. That's 24 total, so the second set will have to drink a total 36 bottles, being 9 white and 27 red. So, 25 bottles of white and 35 of red, which reduces to 5 resp. 7.

[sev]

I probably incurred a rounding error somewhere; our answers are close. It's common for that to happen to me when I'm working things out by hand.