A case contains c cartons. Each carton

A case contains c cartons. Each carton b boxes, and each box contains 100 paper clips. How many paper clips are contained in 2 cases?

5 Explanations

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Sebastian Nankervis

Honestly, I just plugged in numbers.

I assumed I have originally 2 cartons per case, 4 boxes per carton, so if I am asked for the amount of paper clips in 2 cases, I determined I need an answer choice that gives me 1600 clips. Then I just simply scan for an answer choice that gives me that result when plugin in C=2, B=4. Is that approach correct?

Jul 2, 2017 • Comment

Sam Kinsman, Magoosh Tutor

Yes, that's 100% correct! Great job, and thanks for sharing your approach :)

Jul 5, 2017 • Reply

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Ajosh John

1 case = 'c' cartons
1 carton = 'b' boxes
1 box = 100 paper clips.

so, 1 case = 'c' cartons X 'b" boxes X 100 paper clips
Hence , 2 cases = 2 X 'c' cartons X 'b" boxes X 100 paper clips

that gives 2 cases = 2xcxbx100=200bc

Is this way correct?

Dec 18, 2015 • Comment

Cydney Seigerman, Magoosh Tutor

Yes, that's a perfectly valid way to approach this question :-) Well done!

Keep up the good work :D

Dec 20, 2015 • Reply

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Sana Sarfaraz

Hi, can someone please tell me why don't we multiply everything by 2 so it would be 2(100bc) vs 200bc?

Thank you,
Sana

Sep 9, 2015 • Comment

Cydney Seigerman, Magoosh Tutor

Hi Sana :)
We do in fact multiply the number of paperclips in one case by 2 to get the final answer.
As you correctly determined, there are 100bc paperclips in 1 case. Therefore there are 2(100bc) paperclips in 2 cases. It's important to recognize that 2(100bc) = 200bc. However, the correct answer choice, 200bc, is in the simplest form, whereas 2(100bc) has the term 2 factored out.
Hope that helps!

Nov 3, 2015 • Reply

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Rustam Karshibaev

Simple and complicated!

Jan 14, 2014 • Comment

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Mike McGarry, Magoosh Tutor