akai-kun wrote:[spoiler]Could it be ~49% ?[/spoiler]
ayw wrote:akai-kun wrote:[spoiler]Could it be ~49% ?[/spoiler]
I'm pretty sure you got it. Can you give me the exact fraction (in spoilers)?
akai-kun wrote:[spoiler]5/7 of the men = 3/8 of the women[/spoiler]
ayw wrote:Hmm... you got nearly the right result, and rounding down to two digits gives the right answer. Your first stepakai-kun wrote:[spoiler]5/7 of the men = 3/8 of the women[/spoiler]
is correct and is very important but I can't follow the maths beyond that. The final fractionakai-kun wrote:[spoiler](40+40)/163[/spoiler]
is not correct. Hint:
[spoiler]It is not possible to find out the actual number of inhabitants with the given information, since you could e.g. double the number of inhabitants and still keep the same factions in the original question. Nonetheless, you were right about writing down an expression for the number of inhabitants, but use variables e.g. M for "all men" and W for "all women" instead. Then use the information from your first step. (Perhaps that's what you were attempting in your subsequent steps. I couldn't quite tell.) After that there's one more step to get the fraction of married people.[/spoiler]
cancerkani wrote:Just for fun... Not sure if this is right...
[spoiler]Lowest common multiple between 3 and 5: 15
5/7 of men versus 3/8 of women translates to:
15/21 of men versus 15/40 of women
Total population: 21 + 40 = 61
Fraction married: 30/61
Percentage married: 49.1803278%[/spoiler]
akai-kun wrote:Next quiz!
I think we could make a game like in other threads/forums that the one who anwered the question at first can start a new quiz, how about that idea? (But it should be with maths...)
ayw wrote:@akai-kun, Ah, then you were correct!Sorry about that. Well done!!
@cancerkani, Thats right, although [spoiler]21+40=61 is not necessarily the population, but is indeed the smallest population satisfying the question, since you chose the smallest common multiple between 3 and 5.[/spoiler] Well done!!
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