Logic

Logic Level 2

Mary buys 3 apples every Wednesday and 2 apples every other Monday. After 6 weeks, how many apples has she bought? Note* Assume that each of the 6 weeks is a full calendar week.

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1 solution

Queenbe Monyei
Jul 23, 2016

If she buys 3 apples on Wednesday after 6 weeks that will be 18 apples from Wednesday purchases. Additionally she will have bought 2 more apples every other week on Monday which makes for an additional 6 apples.

Ok in a period of 6 weeks there are 6*3 = 18 apples bought in Wednesdays anyway. But the counting of apples on Mondays doesn't seem quite right.

For each Wednesday excepting the last there will be a future Monday and you have 6-1 such wednesadays so you have 6-1= 5 Mondays.Having 5 Mondays you have according to this counting 18 + 5*2 or 28 apples in total. Or , for an illustration start with six Wednesday in a row W W W W W W . This is the period of six weeks and between any W there is an M so you have WMWMWMWM. It's pretty clear this counting is right. It depends on what you meant by "other week" anyway. Can you make clearer the reasoning, am I missing something ? I took it as meaning the next week in which the previous wednesday is not included. Or maybe you just made an error of calculation.

A A - 4 years, 10 months ago

Think of it as 6 full calendar weeks. A calendar week can start on Monday or Sunday depending on the region. Either way, you can assume that for every week (7 full days) 1 Monday and 1 Wednesday will have passed. In relation to every other week it just means that one week an apple is bought on Monday and the next week it isn't and then the next week it is and so on. If we look at a span of 6 weeks, this leaves you with 3 weeks that apples are being bought on Monday.

Queenbe Monyei - 4 years, 10 months ago

I think the issue is with the conclusion taken from the formulation every other Monday , meaning with what can be concluded when someone hears it anyway.

To me if somebody says " every other week an apple is bought on Monday" then you should conclude that if I am in week 1 then I will buy in week 1+1 the apple and then I will also buy the next week (1+1) + 1an apple because it is applied the rule of every-other-week-from-the-previous-week. As every week excepting the first when the time span starts has a previous week there should be n-1 weeks. So in relation to every other week it means for every week , W , 1 apple in next W+1. This is the rule which I use and conclude from that formulation and now , next to your rule.

In other words the word "other" used here means under my interpretation"next" or when I hear the word "other" I am thinking immediately without realizing "next". You may have thought differently at it and the meaning intended by you in thinking should be different but right now I still don't get what "other" means for you anyway.

Under the way of interpreting things which you may have in mind for the formulation "every other week on Monday" it may mean maybe something subtle. It may mean something like "every other week" but with the additional so to say characteristic that it is a week "in which an apple hasn't been bought" anyway.

Please also observe that is another way of interpreting the formulation "every other have x" meaning that "all" weeks excepting the first have a common trait.

Can you please make clear once more what is the rule applied by you when the formulation every other week is used as I explained upper my understanding of what I am understanding it to mean when I think of other ? Btw , thanks for replying and explaining anyway.

A A - 4 years, 10 months ago

Logic

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