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# Amira's pitcher can hold a maximum of how many ounces of water?

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Math Expert
Joined: 02 Sep 2009
Posts: 58464
Amira's pitcher can hold a maximum of how many ounces of water?  [#permalink]

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10 Jan 2018, 23:43
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Difficulty:

25% (medium)

Question Stats:

89% (01:09) correct 11% (01:18) wrong based on 34 sessions

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Amira's pitcher can hold a maximum of how many ounces of water?

(1) The pitcher currently contains 27 ounces of water.
(2) If 9 ounces of water are added to the pitcher when it is one-quarter full of water, the amount of water in the pitcher will increase by one-fourth.

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Re: Amira's pitcher can hold a maximum of how many ounces of water?  [#permalink]

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10 Jan 2018, 23:54
Bunuel wrote:
Amira's pitcher can hold a maximum of how many ounces of water?

(1) The pitcher currently contains 27 ounces of water.
(2) If 9 ounces of water are added to the pitcher when it is one-quarter full of water, the amount of water in the pitcher will increase by one-fourth.

(1) Currently 27 ounces in there. But is it completely full? or half full? or quarter full? Until we know what % of pitcher makes 27 ounces, we cannot say whats the capacity of pitcher is. So Insufficient.

(2) Let total capacity = X ounces. When its one-quarter full, water in there = X/4 ounces. If we add 9 ounces, this increases the initial water quantity by 1/4. This means 9 ounces = 1/4 of X/4 ounces. OR 9 = X/16 OR X = 16*9 = 144 ounces. So pitcher can hold a MAX of 144 ounces of water. Sufficient.

Re: Amira's pitcher can hold a maximum of how many ounces of water?   [#permalink] 10 Jan 2018, 23:54
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