Math Question

Crimson · #1 04-22-2006, 10:05 PM

2 rats (1 male 1 female) arrive on an island, (day 0) and produce 6 more rats, 3 male and 3 female. The original couple produces 3 more couples, or 6 more rats, every 40 days thereafter. The subsequent generations cannont produce untill they reach 120 days, and then they too produce rats at a rate of 6 rats every 40 days.

After one year, (360 days for this) how many rats are on the island?

I got(but I dont know if it is correct): <font color="white">1862 </font>

Hint in white:
<font color="white"> For a start and clarification, day 0, there will be 8 rats, with 2 being reproductive. Day 120, there will be the 2 original + the 3 couples now able to reproduce and so on... </font>

Sephus · #2 04-22-2006, 10:07 PM

i will give you 50 bucks to eat a live rat and videotape it.

Crimson · #3 04-22-2006, 10:11 PM

Not for 10k

Spota · #4 04-22-2006, 10:12 PM

[ QUOTE ]
i will give you 50 bucks to eat a live rat and videotape it.

[/ QUOTE ]

Someone beat you to it.
http://media.ebaumsworld.com/wmv/mouseeat.wmv

mmcd · #5 04-22-2006, 10:17 PM

[ QUOTE ]
Someone beat you to it.

[/ QUOTE ]

Yep.