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555-605 (Medium)|   Geometry|      
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Bunuel
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When Greenville State University decided to move its fine arts collect 01 Sep 2016, 03:50
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70% (02:01) correct 30% (01:43) wrong based on 53 sessions

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When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 15-inch boxes. If the university pays $0.50 for every box, and if the university needs 3.06 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?

A. $255
B. $275
C. $510
D. $1,250
E. $2,550
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A
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When Greenville State University decided to move its fine arts collect 01 Sep 2016, 04:13
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Total no. Of boxes = 3060000/(20×20×15) = 510
Total cost = 510×$0.5=$255
Answer A

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When Greenville State University decided to move its fine arts collect 06 Dec 2020, 06:34
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Bunuel
When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 15-inch boxes. If the university pays $0.50 for every box, and if the university needs 3.06 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?

A. $255
B. $275
C. $510
D. $1,250
E. $2,550
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IMO A

Approach:

the total volume of each box = 20*20*15 = 6000 cubic inches

cost per box each = 0.5 $


The TOTAL volume to be transferred for library = 3.06 * 10 ^ 6 cubic inches ( 1 million is 10 ^ 6 )

Now, the minimum amount the university must spend on boxes = {cost per box each} * ( The TOTAL volume to be transferred for the library ) / (the total volume of each box)

the minimum amount the university must spend on boxes = {0.5} * 3.06 * 10^6 / 6000 ~= approx. 250

Which is nearest to A. $255

Feel free to tag me or any quant help.

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