Daniel takes orders at the Marvelous Muffin Bakery. The muffins are packed into boxes that hold 1, 3, 9, 27 muffins. When a customer asks for muffins, Daniel fills out an order slip.
• If a customer orders 5 muffins, Daniel writes code 12 on the order slip.
• If a customer orders 19 muffins, Daniel writes code 201 on the order slip.
• If a customer orders 34 muffins, Daniel writes code 1021 on the order slip.
1) What code would Daniel write on the order slip if a customer asked for 47 muffins? Explain.
2) If the Marvelous Muffin Bakery always packs its muffins into the fewest number of boxes possible, what is a code Daniel would never write on a slip? Explain.
3) The largest box used by the Bakery holds 27 muffins. Daniel thinks the bakery should have a box one size larger. How many muffins would the new box hold? Explain.
Monday, October 22, 2007
Are You Smarter Than A 4th Grader?
Last week Emma brought home the following extra credit assignment. It was taken from her 4th grade math curriculum. Good luck!
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9 comments:
Answer to all:
Find the teacher and choke the life out of him/her. WTF?
I'm glad I'm out of school.
Will you promise to post the answers?
I love these. Yes, I am a geek. and a former teacher so here I go:
1. 1202 - the number of each box needed reversed.
2. 333 - because it would be the next size up.
3. 81 - they are multiples of three.
Am I right? Do I get a cool million? A dime perhaps? Don't leave me hanging ...
By the way, the word verification is nelvpuss. Isn't that obscene?
Seee people..this is why I teach reading and writing...~shakes head~
Math...
FYI, I spend 1/2 my year making sure that I cover concepts and teach test taking so that students do well.
*sigh*
Mabel: Well done!!!
1. Correct.
For an order 47 muffins the code would be 1202. The codes goes from largest to smallest in terms of the boxes used.
1 27-muffin box
2 9-muffin boxes
0 3-muffin boxes
2 1-muffin boxes.
2. Correct!
There are several answers to this one but essentially it would be any code with a 3 (or any larger number) ar a code with more than 4 digits.
3. Correct.
The box size increase by a factor of three. 1x3=3, 3x3=9, 9x3=27. Following this pattern the next largest size would be 81 (27x3=81).
Your prize, my warmest personal regards.
34 muffins? 47 muffins? These people don't need boxes, they need feedbags.
By the way, I didn't get the answer.
Charlie, let me try to explain in simple words and numbers. For 5 muffins the code is 12. Actually the code is 0-0-1-2 meaning ( 0 boxes of 27-size + 0 boxes of 9-size + 1 box of 3-size and 2 boxes of 1-size ). So, 0x27 + 0x9 + 1x3 + 2x1 = 5. Got it ?
Similarly, for 47 muffins, the code is 1202 because, 1x27 + 2x9 + 0x3 + 2x1 = 47. You should get it by now !! :-)
Dear Sven,
I have struggled with this problem for more than a year (not 24/7, you understand). It was my daughter's third 3rd grade assignment, following the first and second assignments about place value and <>. When I asked the teacher, she pleaded with me to talk with her some other time than the end of the day. But I work, so that never happened.
I remembered base three from high school and worked out the answer to number 1 from that--47 is 1202 in base 3, but I never got the bizarre extension for completing #2 and #3 on the worksheet.
The internet is a wonderful place, and I wish I'd have searched before this fiendish thing ate me. Thanks for releasing me...
Toni
thank ! this post is so useful to me
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