mthspuz_april

1. 10x10=100÷1/2=200+12=212 *NOTE: For another way to look at this - Stuart writes: I noticed that the corresponding answer to puzzle 1 says "10x10=100÷1/2=200+12=212", when in fact it should be "8x10=80÷1/2=160+12=172" as you have 8 fingers and 2 thumbs!

MOUSEOVER CURSUR OF THE QUESTION NUNBER GIVES THE ANSWER

3. If Mollie has twice as many Beanie Babies as Jenn and Allison has 3 times as many as Jenn, then the total of 72 must be divided by 6. 72÷6=12. Therefore: Jenn has 12 Beanie Babies, Mollie has 24 Beanie Babies, and Allison has 36 Beanie Babies.

4. If Kevin is 6'6" tall, George must be 5'4" tall, and Richard must be 6' tall because he is 6" shorter than Kevin and 8" tall than George.

5. The first player only shakes hands with 8 other players, the second player only shakes hands with 7 other players ( he already shook hands with the first player!), the third player only shakes hands with 6 players ( he already shook hands with the first player and second player ), and so on, until the last player who only has one possibility left.
Therefore: 8+7+6+5+4+3+2+1=36

7. If there is to be only one winner, than there are 99 loses, therefore there were 99 matches. You can also do this with math: in round 1 there would be 50 matches to produce 50 winners, round 2 would have 25 matches to produce 25 winners, round 3 would have 12 matches to produce 12 winners ( one person of the 25 winners would have to wait until later to play again ), round 4 would have 6 matches to produce 6 winners, round 5 would have 3 matches to produce 3 winners, round 6 would have 2 matches ( the player left out before would now play to make it an even field ) to produce 2 winners, these 2 would play for the championship.
So: 50+25+12+6+3+2+1=99

7a. ALTERNATE ANSWER
The first round is 50 matches eliminating 50 golfers, the second is 25 matches eliminating 25 golfers. For the third round the remaining 25 are divided into pools of 5 at random and face two matches each (each vs. a different randomly selected opponent in the pool). I think you will find that there will be two golfers and two only from each pool who will be dual winners. They will advance. The third round was then 5 pools of 5 matches so 25 more matches (100 total so far). The fourth round will be 5 matches eliminating 5 golfers. These five participate in a pool (fifth round) just like the third round (5 more matches and 2 emerge). The two play the championship match. So by round the matches are: 50+25+25+5+5+1 = 111 matches

8. If the trains are moving toward each other we combine their speeds to give us their speed basis. So: 55+80=135mph. Divide this speed by 60 minutes to give the speed they are traveling each minute=2.25 miles/minute.
Therefore: 2 minutes before impact they are 4.5 miles apart.

9. 24 mph. Most people are quick to answer 25 mph, but this is not correct, as we will see. Let the distance traveled be 60 miles each way. Then, the trip out = 60/30 = 2 hours, and the trip back = 60/20 = 3 hours.
Therefore: the 120 mile trip = 120/5 = 24 mph.

10. The answer is 297 seconds, not 300 as most people would suppose. This is because the 100 pieces are made in 99 cuts.
The last cut made results in 2 pieces instead of only one piece.

11. Add the equation to give: 10000X + 10000Y = 50000
Divide by 10000 to give: X + Y = 5
Subtract to give: 3502X - 3502Y = 3502
Divide by 3502 to give: X - Y = 1
Therefore: X = 3 and Y = 2

12. It takes 3 hours for the friends to meet; so the pigeon flies for 3 hours at 18 MPH=54 miles.

13. If John weighs 147 pounds plus half of his body weight, the 147 pounds represents the other half. John weighs 294 pounds.

14. You can't shorten the process of egg-hatching by increasing the number of chickens. Therefore, 30 hens will also need 18 days to hatch their eggs.

15. Fill the 3 gallon pitcher and pour it into the 5 gallon pitcher. Now fill the 3 gallon pitcher again and fill the 5 gallon pitcher to capacity. What remains in the 3 gallon pitcher is one gallon of juice.

16. First find the common denominator for the numbers 3, 4, 6, and 8. The only common denominator less than 30 is 24. Therefore, the students with a "B" = 8, "B-" = 6, "C" =4, failed = 3. This represents 21 of the students; so the 3 remaining students received an "A".

17. Divide 250 by 11 which equals 22.8. Now when you combine the extra 8 scraps with the scraps you'll have from the 22 bars, you'll have 30 more scraps. They will produce 2 more bars; so the total additional bars will be 24.

18. If Kerry eats 3 times as fast as Pete, he must be able to eat 3 times as many dumplings as his brother. Therefore, Kerry eats 24 while Pete eats 8 ( 32 ÷ 4 = 8 ). Together it takes them 45 minutes.

19. He had 6 oranges to start with, and ate 2 the first day and 2 the second day.

20. Joan is 32, Jane is 28, and Jean is 16.