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# The volume of a certain substance is always directly proportional to

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Math Expert
Joined: 02 Sep 2009
Posts: 60465
The volume of a certain substance is always directly proportional to  [#permalink]

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20 Dec 2015, 06:17
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Difficulty:

35% (medium)

Question Stats:

68% (01:36) correct 32% (01:54) wrong based on 60 sessions

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The volume of a certain substance is always directly proportional to its weight. If 48 cubic inches of the substance weigh 112 ounces, what is the volume, in cubic inches, of 63 ounces of this substance?

A. 27
B. 36
C. 42
D. 64
E. 147

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Re: The volume of a certain substance is always directly proportional to  [#permalink]

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20 Dec 2015, 06:45
Bunuel wrote:
The volume of a certain substance is always directly proportional to its weight. If 48 cubic inches of the substance weigh 112 ounces, what is the volume, in cubic inches, of 63 ounces of this substance?

A. 27
B. 36
C. 42
D. 64
E. 147

112 ounces of a substance has a volume of 48 cubic inches
63 ounces of a substance has a volume of (48/112)*63 = 27 cubic inches
Alternatively , we can use estimation
112 ounces of a substance has a volume of 48 cubic inches
56 ounces of a substance has a volume of 24 cubic inches
Therefore , 63 will have a volume a little more than 24 ,that is 27
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Re: The volume of a certain substance is always directly proportional to  [#permalink]

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14 Oct 2019, 16:53
Step 1: calculate ratio of cubic inches to ounces of substance
48 in^3 / 112 oz = .429 in^3/ oz
Step 2: multiply by 63 = 27 in^3
Ans=A
Re: The volume of a certain substance is always directly proportional to   [#permalink] 14 Oct 2019, 16:53
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