Your solution method is different from mine. But we have come up with the same solution. I think it's good that you would make a guess for the solution. I also see that you have approached it by first looking at the Black Fridays pattern (to get Friday the 13th in two consecutive months is that the first day of the month is a Sunday). Your method is quite well thought out. Good job!
Our methods are similar but slightly different. You investigate 1st of every month and claim that Black Friday exists if and only if that month's 1st day is on Sunday. Interesting! You try to find a year which has 4 Black Friday, which it good. But do you think it is possible to have a year without any Black Friday?
I think that there can't be a 12 month period that goes by without having at least one Black Friday. When I looked at the day of the week (Sunday, Monday, etc...) that the 1st day of the month happens to be through a 12 month period, all the days of the week, sooner or later, are featured. Therefore, I conclude that if the first day of the month needs to be a Sunday in order for that month to get a Black Friday, sooner and no later than 12 months, that event will happen and at least one month will have a Black Friday
I like how you simplified the different number of days in a month by march and april type months. It's neat that you showed the days of the week it falls on for every month. It's also great that you included the leap year in your solutions. The only thing I might just change is that when you first guessed the most number of black fridays is 4, just say it's a guess or a prediction so people reading it might not think right away that it's the answer. But great job!
Hi Enrique,
ReplyDeleteYour solution method is different from mine. But we have come up with the same solution. I think it's good that you would make a guess for the solution. I also see that you have approached it by first looking at the Black Fridays pattern (to get Friday the 13th in two consecutive months is that the first day of the month is a Sunday). Your method is quite well thought out. Good job!
Hi Enrique,
ReplyDeleteOur methods are similar but slightly different. You investigate 1st of every month and claim that Black Friday exists if and only if that month's 1st day is on Sunday. Interesting!
You try to find a year which has 4 Black Friday, which it good. But do you think it is possible to have a year without any Black Friday?
I think that there can't be a 12 month period that goes by without having at least one Black Friday. When I looked at the day of the week (Sunday, Monday, etc...) that the 1st day of the month happens to be through a 12 month period, all the days of the week, sooner or later, are featured. Therefore, I conclude that if the first day of the month needs to be a Sunday in order for that month to get a Black Friday, sooner and no later than 12 months, that event will happen and at least one month will have a Black Friday
ReplyDeleteHey Enrique,
ReplyDeleteI like how you simplified the different number of days in a month by march and april type months. It's neat that you showed the days of the week it falls on for every month. It's also great that you included the leap year in your solutions. The only thing I might just change is that when you first guessed the most number of black fridays is 4, just say it's a guess or a prediction so people reading it might not think right away that it's the answer. But great job!
Yeah, you're right... I was writing too fast and it does sound like that is the conclusion I came up with. Thanks Jan!
ReplyDelete