« Home | Posting for Points » | More Constructions » | Constructions » | Benchmarks 6-8 » | 3.5 and 3.6 Parallel and Perpendicular Equations » | Writing Equations of Lines » | TEST DAY!!! » | BM #3 and #4 and Chapter 1 Review » | 1.6 and 1.7 Angle relationships and Perimeter and ... » | 1.5 Segment and Angle Bisectors » 

Sunday, September 25, 2005 

Problem of the Week: #1

Here is our first Problem of the Week (POW). You can earn 2 homework points for posting solutions with a description of how you solve it.
Rabbits and Chickens
Farmer Ben has a rabbit and chicken farm. On his farm there are 140 heads and 466 feet. How many of each animal are there?

what you do is use the number of heads and divide it by two meaning the rabbits and chickens then you should get a answer of 70 rabbits and 70 chickens.

The only why i could come up with an answer that added up to 140, was random guess and check, and i ended up with 93 rabbits, and 47 chickens.

i came up with an answer of 93 rabbits and 47 chickens. i got this answer beacause i just started adding random # together. to check my answer i multiplyed 93 by 4= 372 and 2 by 47=94 then i added up 372+94=466 (# of feet) and then i added up 93+47=140 (# of heads) which shows my answer to be right.

i took 60 rabbits times 4 feet per rabbit='s 240 feet. i took 60 chickens times 2 feet per chicken and i got 120 feet. now i have 360 feet and 120 chickens. i only need 20 more heads, so i take 20 more rabbits times 4 feet = 80 more feet. now i have the correct number of heads but still short 40 feet.

The Solution:
93 rabbits and 47 chickens.
Start with 140 heads (draw 140 circles if you want). Then add 2 feet to all the heads (each animal has at least 2 feets). Then continue to add 2 legs until you total 466 feet. Time comsuming, but effective!

Leave your comment


Verification image


                               

NOTE: Comment Moderation is enable and may delay your comment. Click "Post" only once.

<< Home

About me

  • Author: Jonathan F.
  • Location: Kingsburg, California, United States
  • Office Hours: Tuesday and Thursday 3:15-3:45, Wednesday at lunch
  • I'm a proud father of 3 growing boys, high school math teacher, and fan of all things Apple.
My profile
Email me at mrfjelstrom@mac.com


Subscribe with Bloglines

Get Firefox

MacCast