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A rectangular garden that is 10 feet long and 5 feet wide is to be cov

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A rectangular garden that is 10 feet long and 5 feet wide is to be cov  [#permalink]

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New post 09 Dec 2014, 15:49
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C
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  15% (low)

Question Stats:

84% (01:23) correct 16% (01:32) wrong based on 108 sessions

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Project DS Butler: Day 56: Data Sufficiency (DS112)


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Tough and Tricky questions: Geometry.



A rectangular garden that is 10 feet long and 5 feet wide is to be covered with a layer of mulch 0.5 foot deep. At which store, K or L, will the cost of the necessary amount of mulch be less?

(1) Store K sells mulch only in bags, each of which costs $7 and contains 6.25 cubic feet of mulch.
(2) Store L sells mulch only in bags, each of which costs $40 and contains 25 cubic feet of mulch.


Kudos for a correct solution.

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Re: A rectangular garden that is 10 feet long and 5 feet wide is to be cov  [#permalink]

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New post 09 Dec 2014, 21:29
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The total volume of mulch required = 10*5*.5 = 25 cubic feet

Statement 1: Store K sells mulch only in bags, each of which costs $7 and contains 6.25 cubic feet of mulch.

The total cost = 25/6.25 * 7 = $28. We don't know about L. Hence insufficient

Statement 2: Store L sells mulch only in bags, each of which costs $40 and contains 25 cubic feet of mulch.

Therefore total cost =$40. We don't know about K. Hence insufficient

Combining 1) and 2), we can say L is cheaper than K. Hence C) should be the answer.
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Re: A rectangular garden that is 10 feet long and 5 feet wide is to be cov  [#permalink]

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New post 09 Dec 2014, 22:13
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A rectangular garden that is 10 feet long and 5 feet wide is to be covered with a layer of mulch 0.5 foot deep. At which store, K or L, will the cost of the necessary amount of mulch be less?

Total volume of mulch requires is 10*5*0.5 = 25
(1) Store K sells mulch only in bags, each of which costs $7 and contains 6.25 cubic feet of mulch --> no info. about L....insufficient
(2) Store L sells mulch only in bags, each of which costs $40 and contains 25 cubic feet of mulch --> no info. about K...insufficient

1+2 -->from 1: we need 25/6.25 = 4 bags, cost of 4 bags is 4*7 = $28
from 2: we need 1 bag, cost of 1 bag is $40
hence K is cheaper.....sufficient

Ans. C)
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Re: A rectangular garden that is 10 feet long and 5 feet wide is to be cov  [#permalink]

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New post 31 Dec 2018, 07:32
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Re: A rectangular garden that is 10 feet long and 5 feet wide is to be cov   [#permalink] 31 Dec 2018, 07:32
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