If you were to construct a 7 x 7 checkered square (i.e., a 7 x 7 chess board), how many squares would there be in total?
This is not just asking for the total number of little squares which would be 49, but the board itself is also a square which would add one...and there are also squares made up of 2 checkered squares x 2 checkered squares etc...
If that doesn't make sense let me know and I'll try and clarify it.
There is a pole in a lake. One-half of the pole is in the ground, another one-third of it is covered by water, and 11 ft is out of the water. What is the total length of the pole in ft?
Ann purchased a house for $ 183787. She wants to sell it for a profit of exactly 13%. However, she does not want to sell it herself. She wants a Real Estate Agent to sell it for her. The Agent must make a commission of exactly 5.6% (in addition to Ann's 13% profit). How much must the Agent sell the house for? Give your answer to the nearest dollar.
The answers are now in the comments. I decided to do it that way, rather than post them, on the off chance that someone who likes these things still wants to try. :) I know it's a long shot. :)
Thanksgiving and the start of Christmas things
51 minutes ago
7 comments:
(I found your blog through Kristi's)
This kind of stuff drives me CRAZY! I won't even hurt myself trying to figure out the first two, but I just bought a house, so I'd venture a guess on the last one:
$219,310.00
Close?
Lorie: Welcome and thanks for stopping by! You're really close, but not quite. I'd be interested to know how you got that answer since it's that close...did you round something off to far? I'll email you the right answer if you want.
Or you can wait until tomorrow and I'll try and post all the correct answers then.
$219309
66 ft
Matt: No to the dollar amount and yes to the length.
Answers:
140 squares total. You can find this number quickly by recognizing a pattern. If you start with the littlest squares you have 7x7 or 7^2. If you then go to the next smallest square and count them you have 6x6 or 6^2. This pattern continues until you get to the biggest square which is the whole board or 1^2. So the answer is 7^2 + 6^2 + 5^2... = 140
66ft long. This one required some algebra if you weren't going to solve it by trial and error. Set up your variable, X, as the total length of the pole. Then your equation will look like this. (1/2)X + (1/3)X + 11 = X From there you just solve the equation for 'X'. (5/6)X + 11 = X : 11 = (1/6)X : X = 66
$219,999. This one gave people the most problems. This one also involves some algebra. Since we're trying to find the selling price of the house we'll set that up as our variable, X. We know how much Ann wants to make, so we know what needs to be left over after the realtor takes his/her cut. If you take the selling price, X, and subtract what the realtor makes, (5.6%)X, you should end up with the money that Ann has left, which is the orginal $183,787 plus (13%)183,787, or 1.13*183,787. So your equation should end up like this: X-(.056)X = (1.13)183,787. (.944)X = 207679.31 : X = 219999
yeah... but if a tree fell in the woods...
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