Hello everyone,
I am posting problems for you to do over Thanksgiving break. I urge you to do the problems for your own benefit. You'll always miss the shot you never take!
If you have any difficulties, let me know. I will give you hints so that you can proceed further. Meanwhile, also be looking at the solutions to the previous week's problems.
Remember to post your answers. Have a Happy Thanksgiving!
Captain Agni
Problems
ReplyDelete1. Jordan is making a Thanksgiving turkey decoration to give to her mom. She starts by tracing her hand on construction paper and then cutting out the shape of her hand. Next she plans to attach a feather to each of her four fingers which will be the tail feathers of the turkey (her thumb is going to be the head of the turkey.) Jordan has a bag of blue feathers, a bag of green feathers and a bag of yellow feathers. If all of the same color feathers are identical and she has an unlimited supply of each color feather, in how many distinct ways can she decorate the 4 fingers of her hand-turkey cut out? Blue, yellow, yellow, green is one such way to include.
2. Deborah’s mother makes delicious pies! When this year’s pumpkin pie was finally done, Deborah’s brother took 1/6 of the pie to have for himself. Then Deborah’s dad took 1/4 of what was left. Then Deborah and her mother split a piece that was 1/2 of what remained. Late that night Deborah’s dad and brother evenly split the remaining pie. What portion of the whole pumpkin pie did Deborah’s brother eat? Express your answer as a common fraction.
3. Madeline was supposed to arrive at her parents’ house for Thanksgiving at 11 am sharp. She lives 10 miles from her parents’ house and it normally takes her 15 minutes to get there so she left at 10:45 am. Unfortunately, she forgot to account for holiday traffic and it ended up taking her 25 minutes to travel the 10 miles to her parents’ house. By what percent did the average speed of Madeline’s usual trip to her parents decrease as a result of traffic?
Have fun working out the problems!
Here are my answers:
ReplyDelete1)81 possibilities
2)31/96 of the pie (?)
3)40%
These were fun!!!
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Maya Eashwaran:-)!
Maya, great job for posting your answers.
ReplyDeleteI'll release the solutions after a few more responses.
Have fun!!
Is this our homework?
ReplyDelete1)81 possibilities
2)31/96 of the pie
3)40%
Agni, could you post the answer to #1. My dad worked it out for me but I still didn't get it.
ReplyDeleteThnx
Good job, Vishal, for working on the problems. They required the knowledge of counting concepts, and it's great that you worked with your dad to solve them!
ReplyDeleteIn the classroom, we will be doing more problems of this type. You already seemed to understand the concept a bit after you solved that "high-five" problem at the meeting! Working on more problems will give you a deeper understanding.
Solutions
ReplyDelete1. Each finger can be one of three possible colored feathers, thus there are 3(3)(3)(3) = 81 ways the 4 fingers can be decorated.
2. If Deborah’s brother ate 1/6 of the whole pie, then 5/6 of the pie was left. When Deborah’s father ate 1/4 of the remaining 5/6, he left (3/4)(5/6) = 5/8 of the pie. Then Deborah and her mother shared 1/2 of what remained, leaving (1/2)(5/8) = 5/16 of the pie. Finally, Deborah’s father and brother split the remaining 5/16, each eating (1/2)(5/16) = 5/32 of the pie. Thus, Deborah’s brother ate 1/6 + 5/32 --> 16/96 + 15/96 = 31/96 of the pie.
3. To solve this one we will use the following equation: rate = distance/time.
Madeline’s normal avg speed: 10 miles/(15 minutes/60 minutes per hour) = 40 mph
Thanksgiving avg speed: 10 miles/(25 minutes/60 minutes per hour) = 24 mph
That is an actual decrease of 16 mph, which is a percent decrease of (16/40)(100) = 40%
Sorry it was late, but i got the same answers
ReplyDelete1) 81 possibilities
2) 31/96 of the pie
3) 40%
2nd one was a bit confusing....
It's OK, Avanthika. Keep up with the good work!
ReplyDelete--------------------------------------------------
Everyone, feel free to post any math problems that you have any trouble with here. I'll be happy to help you.
1. 81 possibilities
ReplyDelete2. 31/96 of the pie
3. 40%