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The Inheritance

 My grandfather told me of a dilemma, he had to help an unfortunate friend many years ago.  "It was during WWII (World War 2) when my friend found out that his wife was going to have a baby.  Unfortunately, my friend was called to duty before the baby was born. He felt strongly about making out his will before he left, just in case.  He wanted his savings to be divided between his wife and his child to be.  If it were a boy, the child would get twice the amount of the mother.  If it were a girl, the child would get half the amount of the mother.  He had \$14,000 in his savings account.I do not begin to comprehend how he determined this strange will but this is what it was.  Even stranger still, my friends wife gave birth to twins... and yes, one was a boy and the other a girl?!? " Before I tell you the answer what do you think? How was the money divided? Answer: Mom gets \$4,000; Son gets \$8,000; Daughter gets \$2,000.    Moms portion plus the son's double and the daughter's half portion equals 3.5. So: x + 2x + .5x = 3.5x and 3.5x = \$14,000

 How Many Problems Did We Do??? I (Mr. T) assigned one homework problem for Monday night.  On each of the following nights for the rest of the week, I assigned three times as many problems as on the previous night.  At the end of the week, all the problems from the chapter had been assigned.  How many problems does the chapter have??? Answer: The Chapter has 121 problems.   The assignmenst are 1 problem on Monday, 3 problems on Tuesday, 9 problems on Wednesday, 27 problems on Thursday, and 81 problems on Friday.   Add them up and get 121.

 A  Radio Contest My friend Bob, has won a radio contest that includes a chance to win money.  A box is filled with \$100, \$50, \$20, \$10, and \$5 bills.  Bob will be blindfolded and allowed to draw bills, one at a time, until he has drawn five bills of the same denomination.  What is the least amount of money that Bob can win? What is the most money he can win? EXPLAIN your answers for 2 points. Answer: The least is \$25, although it is highly unlikely that it would occur.  He would have picked 5 \$5 bills. The most he could win would be \$840.  This is also unlikely but it would happen if he picked 4 of each bill then picked the \$100 a last time to make 5 of them.

 Becky's Phone Call Becky wants to make a long distance call to her best freind Sarah from a pay telephone.  She has \$5.00 in change.  The call costs \$0.90 for the first three minutes and \$0.24 for  each additional minute.  How long can Becky talk to Sarah? How much will she have left over? (Write an equation and solve it for one more point.) Answer:   Twenty minutes.  After the first three minutes, Becky has \$4.10 left.  At \$0.24 per minute, she can talk for seventeen more (17 x 0.24 = \$4.08) with \$0.02 left over.

 This is a classic... Where's the Dollar?!? Three guys in a hotel call room service and order two large pizzas. Thedelivery boy brings them up with a bill for exactly \$30.00. Each guy gives him a \$10.00 bill, and he leaves.That’s fact! When he hands the \$30.00 to the cashier, he is told a mistake was made. The bill was only \$25.00, not \$30.00. The cashier gives the delivery boy five \$1.00 bills and tells him to take it back to the 3 guys who ordered the pizza. That’s fact! On the way back to their room, the delivery boy has a thought... these guys did not give him a tip. He figures that since there is no way to split \$5.00 evenly three ways anyhow, he will keep two dollars for himself and give them back three dollars. OK! So far so good! He knocks on the door and one fellow answers. He explains about a mix up in the bill, and hands he guy the three dollars, then departs with his two-dollar tip in his pocket. Now the fun begins! Remember \$30-\$25=\$5 Right? \$5-\$3=\$2 Right? So what’s the problem? All is well, right? Not quite. Answer this: Each of the three guys originally gave \$10.00 each.They each got back \$1.00 in change. That means they paid \$9.00 each, which times three is \$27.00. The delivery boy kept \$2.00 for a tip. \$27.00 plus \$2.00 equals \$29.00. Where the heck is the other dollar ?????????? Answer: The trick is to go back to the beginning.  There is no real problem here.  They only paid \$27.   Don't be fooled by the question of where the other dollar is... it is there... look at the problem from this point of view...  They each paid \$9 so they paid a total of \$27.  \$25 went for the pizza and \$2 for the tip... done.  end of story.  The rest is just subterfuge.   (Look it up!)

 Another Calendar Question What is the smallest possible sum of the monthly calendar dates of two consecutive Wednesdays?   For example,  the first two Wednesdays of April 2000 fall on the 5th and 12th, so the sum of their dates is 5 + 12 = 17.  What is the greatest possible sum.   Take your time and think about these questions.  (2 points possible.) Answer: The smallest sum is 9, or 1 +  8.  The greatest sum is 55, or 24 + 31.   The greates sum occurs ony in 31 - day months.

 How Many Home Runs? After 108 games in 1999, Mark McGwire had accumulated 42 home runs.  At that point, what was his projected season-home-run total if 162 games are in the season?  For another point: how many home runs did he actually hit that year? Answer: 63 home runs.  Mark hits 7 home runs in every 18 games.  Since there are 54 games left, and 54 ÷ 18 is 3, then 3 x 7 is 21 more home runs in the remaining games. You could also set up a proportion: 42/108 = x /162.       x = 63

Vacation Questions #2
Question #1: (3 pts)

)How many students?

Seventy-five students have just returned from a class trip to Washington, D.C.   The students visited the following sites:

 Twenty students visited the Washington Monument Thirty-five students visited the White House Fifteen students visited the Kennedy Center Ten students visited the White House and the kennedy Center Eight students visited the Washington Monument and the White House Six students visited the Washington Monument and the kennedy Center Four students visited all three sites

How many students did not go to any of these sites? (Hint: use a vienne diagram.)

Question #2 (2 pts)

How Many Apples in a Bag?

Five paper bags contain a total of thiry apples.   The first and the second contain a total of fourteen apples, the second and the third contain a total of ten apples, the third and fourth contain a total of nine apples, and the fourth and fifth contain a total of twelve apples.  How many apples are in each bag?

Queston #3 (2 pts)

What's my Number?

Name a five digit number that meets the following requirements:

 The first digit on the left tells how many times the digit 0 is in the number. The second digit from the left tells how many times the digit 1 is in the number. The third digit from the left tells how many times the digit 2 is in the number. The fourth digit from the left tells how many times the digit 3 is in the number. The fifth digit from the left tells how many times the digit 4 is in the number.