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Mathematics 21 Online
OpenStudy (anonymous):

Rose wishes to build 3 bookcases, each with 4 shelves. Each shelf will be 3 3/4 feet long. The wood for the shelves is sold in 8 foot boards. How many boards does Rose need to buy for the shelves ? A) 4 boards B) 6 boards C) 8 boards D) 10 boards E) 12 boards

OpenStudy (anonymous):

(3bookcases)(4shelves)(3.75ft per shelf)=total ft needed total ft/ 8ft per board will give you number of boards

OpenStudy (anonymous):

3 bookcases with 4 shelves each means 12 shelves each board is 8 feet long which means you can make 2 shelves per board. this means you need 6 boards total

OpenStudy (anonymous):

the trick here is how to round it. in this case you need to ceiling round it.

OpenStudy (anonymous):

zuige, it is only asking about the shelves, do not over complicate things

OpenStudy (anonymous):

yes, my initial comments were unnecessary. but actually rounding is very important here. You see if the number of boards needed returns a non-integer result for example 6.112 boards, 6 is not enough. You need 7, which means you have to ceiling round 6.122 to get 7.

OpenStudy (anonymous):

check your math, each board is 8 feet, and you can cut two shelves from each one. this means you need 6 boards to get the 12 shelves required

OpenStudy (anonymous):

yes, in this case that's true. i was just giving the universal solution.

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