Sunday, November 4, 2012

The arithmetic of the election

The 2012 Presidential election will take place on Tuesday, November 6.

It is then that you will hear about electoral votes.

There are 538 electoral votes. Minnesota has 10.

The electoral system was created by the United States Constitution, Article II, modified by the 12th and 23rd amendments. The 23rd amendment was added in 1961 and gives 3 electoral votes to The District of Columbia; this leads to the present total of 538 electoral votes.

The number 538 is divisible by 2 (its last digit is the even number 8). Half of 538 is 269, hence, if either candidate gets 270 votes or more, he wins. Because 538 is divisible by 2, a tie is possible; this happened twice, in the elections of Thomas Jefferson and John Quincy Adams. In those days, the number of electoral votes was smaller and a tie more likely.

In the case of a tie, the President is chosen by the House of Representatives and the Vice President by the Senate.

There are many arguments for and against the use of electoral votes but one is surely true; it preserves the influence of states with small populations. You may have been in some of those states; North Dakota, South Dakota, Wyoming and Montana have small populations but each has 3 electoral votes.

You could add up the populations of the 4 states above and find that their combined population is less that of Minnesota, but they have 12 electoral votes to Minnesota’s 10.

To read more about the electoral vote system, go to:

http://en.wikipedia.org/wiki/U.S._Electoral_College

This is a long article, but if you stay up until the election is decided, you may have time to read it.

The electoral votes will not be officially counted until December, 2012.

Saturday, November 3, 2012

Solution to An Old Problem About Shopping and Taxes

I am going to use rot13 to give answers:

Copy the encrypted text below: (use the Copy command) which is Ctrl-C on Windows computers and Command-C on Apple computers.

Zl Erprvcg sebz Cnaren Oernq

SBBQ: fvk qbyynef naq 59 pragf
GNK: sbegl guerr pragf
GBGNY: frira qbyynef naq gjb pragf
PHFGBZRE CNVQ: frira qbyynef naq svir pragf
PUNATR QHR: guerr pragf

Go to:  http://www.rot13.com

Paste the encrypted text into the box, using (Ctrl–V or Command-V) Click on “Cypher.” You should see the decoded answer.

Answer to Units Conversion As A Joke

I am going to use rot13 to give answers:

Copy the encrypted text below: (use the Copy command) – it is Ctrl-C on Windows computers and Command-C on Apple computers.

Wbxr nafjre: ur pbhyq svaq bhg ol purpxvat uvf fcrrqbzrgre.

Havgf pbairefvba:

60 srrg   3600 frpbaq   1 zvyr
------- k      ------ k ------ =   sbegl cbvag avar zvyrf cre ubhe
frpbaq         ubhe    5280 srrg

Ur vf fcrrqvat ohg whfg n yvggyr ovg.

Go to: http://www.rot13.com

Paste  using (Ctrl–V or Command-V) the encrypted text into the box. Click on “Encrypt.” You should see the decoded answer.

Units conversion as a joke, corrected

Dr. Steve is driving his car. He is traveling at 60 feet per second and the speed limit is 40 miles per hour. Is Dr. Steve speeding?

Answer in next blog.

Units Conversion As A Joke

Dr. Steve is driving his car. He is traveling at 60 feet per second and the speed limit is 40 miles per hour. I Dr. Steve speeding?

Answer in next blog.

Friday, November 2, 2012

An Old Problem About Shopping and Taxes

On February 10, 2007 “Steve” went to Panera Bread in Eagan MN and bought a “U Pick 2” (soup, sandwich and an apple) for $6.59.

Sales tax in Eagan was 6.5% back then. In Minnesota, tax is rounded to the nearest cent.

Three questions:

What was the tax?

What was the total, including tax?

How much change would Steve get if he presented a $5 bill, a $2 bill, and a nickel (five cents)?

-------------------------------------------

Note: November 2012

The sales tax in Eagan has gone up to 7 1/8 %  (7.125%). The actual ancient receipt will be posted, somewhere in Seward.

Crypt Arithmetic Problems That Are Easy To Solve, Revised

Students in 5th grade math challenge at Seward.

Please perform both checks and write on paper.
Write your name and your E2 teacher's name on
the paper and hand in to Karen Utter during your normal Monday or Wednesday class, but as soon as possible.

We want to verify that you are reading this blog.
Please tell your friends about it.

The assignment may seem trivial but we just want to verify that you are reading this blog.

2012 6th Grade Math Challenge Problem #1
162
+XD
-----
2D7
D must equal 5 so we have:
162
+X5
-----
257
When we add X to 6, we must get 5 and a carry of 1.
So, 6 + X = 15, or X = 9
162
+95
-----
257

Check: Do the above with a calculator and verify that it is correct.

2012 6th Grade Math Challenge Problem #5
ON + ON + ON + ON = GO
Adding ON 4 times is the same as multiplying by 4.
ON
x4
-----
GO
Try various values for N.
N can't be zero because then, N and O would be the same.
If N is 1, O = 4 and 4 x O would be 16, generating a carry and giving a three-digit answer.
If N is 2, O = 8 and 4 x O would be 32, again generating a
carry and giving a three-digit answer.
If N is 3, 4 x 3 = 12. That makes O = 2 with a carry of 1.
G = 4 x 2 + 1, or 9.
This gives:
23
x4
----
92
Check: 23 + 23 + 23 + 23 = 92
Verify this with a calculator.