Grade 7 Math Blogorama at Sargent Park

Thursday, February 16, 2006

Assignment due Friday February 17th

There have been some students submitting great Brain teasers over the past few weeks and I have collected some of my favorites for everyone to solve.

Your assignment is to solve one of the these four brain teasers that have been submitted by your fellow students.

Remember you only have to try to solve on of the brain teasers to earn your blogger marks for the week

TEASER #1 (Submitted by Renegade, modified by Mr. Reece)

There are three cats on one side of the river and three dogs on the other side. The dogs and cats wish to switch sides of the river. You must therefore transport the dogs and cats using your boat to the opposite sides of the river. Now here are the problem that you must deal with

1 - You can never have more dogs than cats on one side of the river as the dogs will eat the cat.

2- You must always have at least one dog or cat with you everytime that you cross the river.

3 - You can never have more than two animals in the boat at the same time.


TEASER #2 (Submitted by Brandon)
Your objective is to buy exactly 100 farm animals with exactly 100 dollars. You must buy at least 1 of each animal. You may need some paper!

The Costs:
Cows: $10 each
Pigs: $ 3 each
Chickens: $0.50 each


TEASER #3 (posted by Jay)
There is a group of friends wanting to know who is the fastest runner out of all of them. Jane runs the lenghth of the football field in 1 minute. Jill runs the same lenghth but she is 30 seconds faster then Jane. The last two people who ran where Alison and Jen. They ran the same length at the same time but Jen ran 5 seconds faster then Alison. Alison ran the lenghth of the field in 55 seconds. Can you list the times from fastest to slowest?


TEASER #4 (Submitted by Ardia)
The fish market is selling different kinds of fish. But there aren't any prices listed. You ask about the prices, but all the seller will tell you is this:
• A pound of salmon and a pound of bass are $12.
• A pound of bass and a pound of swordfish are $10.
• A pound of salmon and a pound of swordfish are $8.
• A pound of swordfish and a pound of catfish are $5.
• Each price per pound is a whole-dollar amount.

What is the price of each fish?


To answer any of these 4 brain teasers please send a comment to this post stating which question you are answering and your answer. If you have already answered one of these brain teasers or you are the original author you must answer a different brain teaser.

Happy puzzle solving!

Mr. R

3 Comments:

  • Answer to Brain teaser #1
    Question:
    There are three cats on one side of the river and three dogs on the other side. The dogs and cats wish to switch sides of the river. You must therefore transport the dogs and cats using your boat to the opposite sides of the river. Now here are the problem that you must deal with

    1 - You can never have more dogs than cats on one side of the river as the dogs will eat the cat.

    2- You must always have at least one dog or cat with you everytime that you cross the river.

    3 - You can never have more than two animals in the boat at the same time.

    Answer:

    First you bring one dog and one cat into the boat. You drop off the dog ,on the cat side, and leave the cat in the boat.Then go back and get another dog. So theres again a cat and a dog in the boat. you drop off the cat and then go across the river to get another cat, then you drop it off (on the dog side). Then you take the other dog and drop them off the the other side then you drop both the dogs off and take the cat and bring it to the other cats.

    -wow that was a cool brain teaser........hahaha i used real objects =P

    By Blogger ardiasarao, at 2/16/2006 7:41 PM  

  • Question:
    Your objective is to buy exactly 100 farm animals with exactly 100 dollars. You must buy at least 1 of each animal. You may need some paper!

    The Costs:
    Cows: $10 each
    Pigs: $ 3 each
    Chickens: $0.50 each

    Answer:
    you buy 5 cows for 50$ (10x5=50)
    Then 10 pigs for 30$ (3x10=30)
    Finally you buy 40 chickens for 20$ (0.50x40=20)

    so..... 30+20+50=100

    By Blogger ardiasarao, at 2/16/2006 7:51 PM  

  • In order from fastest to slowest, here are the runners from teaser #3.
    1. Jill: 30 sec
    2. Jen: 50 sec
    3. Alison: 55 sec
    4. Jane: 1 min

    By Blogger apuya_soldier_, at 2/19/2006 5:47 PM  

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