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Mathematics 9 Online
OpenStudy (anonymous):

If 265 identical boxes, each containing 24 books, weigh a total of 12,720 pounds, how much does each book weigh?

OpenStudy (anonymous):

2

OpenStudy (radar):

If all the books weigh identically the same. Assumptions assumptions.

OpenStudy (anonymous):

@ganeshie8 @phi @amistre64 @thmaster @mathmale @hoblos

OpenStudy (phi):

This problem is worth figuring out on your own. Think about a simple problem: if all the books you have weigh a total of 1 pound and you have 1 book, how much does it weigh? what math do you use to figure out the answer? now try this one: if all the books weigh 1 pound and you have 2 books, how much does each weigh ? can you answer those questions ?

OpenStudy (anonymous):

divide?

OpenStudy (phi):

what by what ?

OpenStudy (anonymous):

pound by book

OpenStudy (phi):

good. that is the basic idea

OpenStudy (anonymous):

i did 256 X 24 = 6144 books divided by 12,720 pounds?

OpenStudy (phi):

now how to use it for this problem? the weight is weigh a total of 12,720 pounds, that part is easy. but you also need the *number of books* any idea how to figure out how many books you have ?

OpenStudy (anonymous):

256 X 24 = 6144

OpenStudy (anonymous):

right?

OpenStudy (phi):

right idea, but wrong numbers

OpenStudy (phi):

it is 265 (not 256)

OpenStudy (anonymous):

oops

OpenStudy (anonymous):

i got 0.5 pounds

OpenStudy (anonymous):

per book

OpenStudy (phi):

The important part is understanding the "big picture", divide weight by number of books to get pounds per book the other important part is being careful when you work the numbers. you should get \[ \frac{12720 \text{ pounds}}{6360 \text{ books}} \] I think you get 2 pounds/book often spoken as "2 pounds per book"

OpenStudy (anonymous):

ah okay thanks for the explanations its more clear now

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