Monday, October 1, 2007

Problem of the Week #6

The symbol used for a dollar in United States currency is most commonly drawn as an uppercase S with 1 vertical stroke through it. The stroke separates the S into 4 parts. Can you see the four parts?




Sometimes the dollar symbol is drawn as an uppercase S with 2 vertical strokes through it. These two strokes separate the S into 7 parts. Can you see the pattern that is forming?




Suppose that the symbol could be drawn with 100 vertical strokes. Into how many parts will the S be separated?

32 comments:

anonymous said...

The pattern is adding 3 to every number, so I think that the answer is 300, because I did 100x3, but I'm not sure it's right.

Sarah said...

I think I have it! I am not gonna spoil it either though. So i will wait till we have like 10 more comments and then say it. If thats ok with miss topper and miss cooper....

Sarah said...

Noam keep trying your almost there! The clues that miss topper gave, or miss cooper gave on the problem really helped. Your just a couple numbers away Noam.

Carly said...

ok...so what do you do?? i need some help!!

Carly said...

ok i think I'm seeing why it has four parts instead of two...

Mrs. Cooper said...

Try making a list of the number of parts that the lines divide the sign into.
So, for example, two vertical lines divides the dollar sign into 7 parts. How many parts does three vertical lines divide the sign into? How many parts will four vertical lines divide it into? Then you should begin to see a pattern.

ilan said...

i agree with noam because if you know the pattern then it wouldnt be that hard i will just go with noam because if there are 100 vertical line and each time it adds 3 onto it so i would do 100 times 300

Mrs. Cooper said...

So are you saying that it is the number of lines times 3?
That would mean
2 lines 6 parts
3 lines 9 parts
4 lines 12 parts
so 100 lines 300 parts?
You may want to rethink that because 2 lines makes 7 parts
3 lines makes 10 parts...

Sophia said...

Mabey you should do 2 lines=6+1 which equals 7, 3 lines=9+1 which equals 10, so mabey if you go up to 10 and multiply it by the number 3.........

anonymous said...

nvm i was wrong, but i no the rite answer for sure now. So of u got the answer i put before its wrong.

anonymous said...

its tricky there are 3 numbers inbetween each one like 1 to4 to 7, but if you do 1x3 it doesn't equal 4 so it can't be 300, if that makes sense.

Mrs. Cooper said...

Sophia-
YOU ARE on the right track. times 3 then add 1?

aaron said...

I am finally able to get on, so this is what i think. On the first one there is one line and it is 4 parts, on the second one there is 2 lines and 7 parts. If you had to do three lines there would be 10 parts. Every time you add 2 parts. So eventually you will get your answer.

Sarah said...

confusing huh...

Mrs. Cooper said...

Look for a pattern between the number of lines and the number of parts Otherwise, you have to go all the way up to 100 and that IS NOT necessary.
1----4
2-----7
3----10
100-----? or
(1,4) (2,7) (3,10) (100,?) hint...What is the rule for getting from the first number in the parenthesis to the second?

Maital said...
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Maital said...

i am confused Why do you add one to the threeto the first number but to the rest you just add three to the number?

scotty said...

i think i have it..... so 1 times 3 + 1 is 4, 2 times three + 1 = 7, 3 times 3 + 1 = 10, 100 times three + one = ???

danielstrauss said...

If you follow the pattern of multiplying by three and adding one you will eventually get the answer.

rachel f said...

I think it is times 3+1

Maital said...

i think i get it now. you do what ever the number is times 3+1

matthew said...

i have to agree with rachel on 3+1 but mrs topper then the other one doesnt make sense.

Mrs. Cooper said...

GOOD!
Now you can check your answer times 3 add 2 (justify) by showing that works!

sivan said...
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sivan said...
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sivan said...
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sivan said...

i got some thing close to noams first comment by fallowing scotts comment.

Sophia said...

I think I have it, if i am right times three plus one get you the answer like i said on my other comments. I did it by times 3 plus 1 all the way to one hundred. Is there a shorter way?

danielstrauss said...

After going over the problem, I agree with Sophia.

danielstrauss said...
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Sarah said...

Matthew,
for the first vertical line, you have 3+1 or(3 x 1 + 1) for the total number of parts...
for the 2nd vertical line, you have 6+1 total parts (which is 3 x 2 + 1).

How many parts do you get when you draw three vertical lines? 10, right? Do you see how you can continue this pattern for the 10 parts you get?

Dylan said...
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