Wednesday, June 23, 2010

I just make up a really cool math word problem and I want to see if anyone can answer it XP?

If I get 7 cookies on sunday and 6 more on monday and 5 more on tuesday.How many will I have i have at the end of the year if the pattern persists, the year started on a thursday, and it was not a leap year.





If you can answer this in under an hour I will digitally give you a hug, or a cookie, I don't know, I have a ton of both at the end of that year lol.I just make up a really cool math word problem and I want to see if anyone can answer it XP?
I assume you mean you get 7 on each Sunday, 6 on each Monday, etc. If so there are 53 Thursdays and 52 of each other day of the week. Thursday would be a 3 cookie day so you've got 53(3)+52(7+6+5+4+2+1) or 159+52(25) or 1459 cookies.I just make up a really cool math word problem and I want to see if anyone can answer it XP?
Hmmm, well the wording may yet need some work.





Starting the year on a Thursday, we have 52 weeks and 1 day in a non leap year.





The question, is, did the pattern begin before the year did, or will it begin the first Sunday? That is 6 cookies difference right there.





Assuming that the pattern began before the year, we have





7*8/2 (cookies per week) *52 plus one Friday (2 cookies). to account for...





%26gt;%26gt;%26gt; 7*8/2*52+2


1458


%26gt;%26gt;%26gt;


Q.E.D.
I assume you mean that you get 7 cookies every monday, 6 cookies every tuesday, etc.





You receive 8脳7/2 = 28 cookies over any 7-day period.


364 days 脳 28 cookies/7 days = 1456 cookies





The 365th day of the year is a Thursday, so you receive another 3 cookies.





Total for the year = 1459 cookies.





And you didn't make up this question.
1459 cookies.





7+6+5+4+3+2+1= 28 cookies per week


your week runs thus-weds.


there are 52 of those weeks + 1 day in a 365 day year.


52*28=1456 plus the extra day.


since your week runs thus-weds, the extra day is Thursday.


On Thursday, by your pattern, you get 3 cookies.


1456+3 = 1459.
January: 4 * (7 + 6 + 5) = 4 * (18) = 72


February: 4 * (7 + 6 + 5) = 4 * (18) = 72


March: 5 * (7 + 6 + 5) = 5 * (18) = 90


April: 4 * (7 + 6 + 5) = 4 * (18) = 72


May: 4 * (7 + 6 + 5) + 7 = 4 * 18 + 7 = 79


June: 6 + 5 + 4 * (7 + 6 + 5) = 11 + 4 * (18) = 11 + 72 = 83


July: 4 * (7 + 6 + 5) = 4 * (18) = 72


August: 4 * (7 + 6 + 5) + 7 + 6 = 72 + 13 = 85


September: 5 + 4 * (7 + 6 + 5) = 5 + 4 * (18) = 5 + 72 = 77


October: 4 * (7 + 6 + 5) = 4 * (18) = 72


November: 4 * (7 + 6 + 5) + 5 + 6 = 4 * (18) + 11 = 72 + 11 = 83


December: 5 + 4 * (7 + 6 + 5) = 5 + 4 * (18) = 5 + 72 = 77





Summing up, you ate 934 cookies in the entire year.
can it be a negative number? either 0 or I owe somebody about a zillion trillion cookies.
931 will be the sum of the cookies that you will be collecting throughout the year
27951 ?





actually wait. you won't have any cos you will have eaten them right?
will tell u at end of year:)
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