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Mrs. Smith stores her homemade applesauce in glass jars of only two si

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Mrs. Smith stores her homemade applesauce in glass jars of only two si  [#permalink]

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New post 17 Jul 2018, 02:28
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Question Stats:

72% (01:21) correct 28% (01:13) wrong based on 36 sessions

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Mrs. Smith stores her homemade applesauce in glass jars of only two sizes: large and small. If a certain quantity of applesauce will fill either 2 large jars and 12 small jars, or 4 large jars and 4 small jars, how many ounces of applesauce does each small jar hold?

(1) Each large jar holds 4 times as much as each small jar.

(2) Two large jars together hold 24 ounces.

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Re: Mrs. Smith stores her homemade applesauce in glass jars of only two si  [#permalink]

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New post 17 Jul 2018, 02:51
Bunuel wrote:
Mrs. Smith stores her homemade applesauce in glass jars of only two sizes: large and small. If a certain quantity of applesauce will fill either 2 large jars and 12 small jars, or 4 large jars and 4 small jars, how many ounces of applesauce does each small jar hold?

(1) Each large jar holds 4 times as much as each small jar.

(2) Two large jars together hold 24 ounces.


+1 for B.

Given:
2L + 12S = 4L + 4S

1) L = 4S
Multiple values for L and S
--> Insufficient

2) 2L = 24 ounces or L = 12 ounces (putting the value in main equation, we get )
24 + 12S = 48 +4S
8S = 24
S = 3

Therefore,
L = 12 ounces
S = 3 ounces
--> Sufficient


Hence, B.
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Re: Mrs. Smith stores her homemade applesauce in glass jars of only two si  [#permalink]

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New post 17 Jul 2018, 03:03
I guess answer is B

If 2 large jars are equal to 24 ounce then 1 large jar would be 12 ounces

From question, we have 2x + 12y = 4x + 4y after putting 12 in place of x we get y = 3 which is the size of small jar so i guess statement 2 is sufficient,

Please advise

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Mrs. Smith stores her homemade applesauce in glass jars of only two si  [#permalink]

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New post 18 Jul 2018, 14:59
Bunuel wrote:
Mrs. Smith stores her homemade applesauce in glass jars of only two sizes: large and small. If a certain quantity of applesauce will fill either 2 large jars and 12 small jars, or 4 large jars and 4 small jars, how many ounces of applesauce does each small jar hold?

(1) Each large jar holds 4 times as much as each small jar.

(2) Two large jars together hold 24 ounces.


Let large jar = L & small jar = S

Total amount = 2L + 12S = 4L + 4S

2L + 12S = 4L + 4S

L = 4S

(1) Each large jar holds 4 times as much as each small jar.
No new info

Insuffcient


(2) Two large jars together hold 24 ounces.

2L = 24....L =12....S =3

Sufficient

Answer: B
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Mrs. Smith stores her homemade applesauce in glass jars of only two si &nbs [#permalink] 18 Jul 2018, 14:59
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