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# Jack picked 76 apples. Of these, he sold 4y apples to Juanita and 3t a

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Joined: 02 Sep 2009
Posts: 55188
Re: Jack picked 76 apples. Of these, he sold 4y apples to Juanita and 3t a  [#permalink]

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26 Apr 2019, 02:34
00:00

Difficulty:

15% (low)

Question Stats:

78% (01:46) correct 22% (01:41) wrong based on 79 sessions

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Jack picked 76 apples. Of these, he sold 4y apples to Juanita and 3t apples to Sylvia. If he kept the remaining apples, how many apples did he keep? (t and y are positive integers.)

(1) y ≥ 15 and t = 2
(2) y = 17

DS86502.01
OG2020 NEW QUESTION

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Re: Jack picked 76 apples. Of these, he sold 4y apples to Juanita and 3t a  [#permalink]

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26 Apr 2019, 04:36
1
From S1:

y ≥ 15 and t = 2.
If y = 15, then remaining is 76-60-6 = 10
If y = 16, then remaining is 76-64-6 = 6
Insufficient.

From S2:

y = 17, then remaining is 76-68 = 8-3t.
If t = 1, remaining is 5
If t = 2, remaining is 2
Insufficient.

Combining both:

y = 17 and t = 2
remaining is 76-68-6 = 2
Sufficient.

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Re: Jack picked 76 apples. Of these, he sold 4y apples to Juanita and 3t a  [#permalink]

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26 Apr 2019, 04:46
Bunuel wrote:
Jack picked 76 apples. Of these, he sold 4y apples to Juanita and 3t apples to Sylvia. If he kept the remaining apples, how many apples did he keep? (t and y are positive integers.)

(1) y ≥ 15 and t = 2
(2) y = 17

DS86502.01
OG2020 NEW QUESTION

Remaining apples = 76-4y-3t
So, we require to know the value of y and t

1.$$y ≥ 15$$ and t = 2
Substituting t=2 in 76-4y-3t, we get 76-4y-3*2=76-4y-6=70-4y.
Now, 70-4y ≥0.....70 ≥4y.....17.5 ≥y
Thus y can be 15, 16 and 17, and accordingly remaining will be 70-4*15=10 or 70-4*16=6 or 70-4*17=2
Insuff

2. y = 17
so Remaining apples = 76-4y-3t=76-4*17-3t=76-68-3t=8-3t
Now, 8-3t ≥0.....8 ≥3t.....2.66 ≥t
Thus t can be 1 and 2, and accordingly remaining will be 8-3*1=5 or 8-3*2=2
Insuff

Combined..
I gives 2, 6 or 10, while II gives 2 and 5..
Only 2 is common and the answer

C
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Re: Jack picked 76 apples. Of these, he sold 4y apples to Juanita and 3t a  [#permalink]

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27 Apr 2019, 07:12
Brant22 wrote:
Jack picked 76 apples. Of these, he sold 4y apples to Juanita and 3t apples to Sylvia. If he kept the remaining apples, how many apples did he keep? (t and y are positive integers.)

1.$$y ≥ 15$$ and t = 2
2. y = 17

NEW question from GMAT® Official Guide 2020

DS86502.01
OG2020 NEW QUESTION

from given info y & x are multiple values of 4 &3 respectively
#1
m]y ≥ 15[/m] and t = 2
values of remainder apples can vary
insufficeint
#2
y=17, t not know insufficient
from 1 & 2
y= 17 ; 17 *4 ; 68 so t = 2 ; 74 , remainder 2
IMO C
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Re: Jack picked 76 apples. Of these, he sold 4y apples to Juanita and 3t a  [#permalink]

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06 May 2019, 20:23
Bunuel wrote:
Jack picked 76 apples. Of these, he sold 4y apples to Juanita and 3t apples to Sylvia. If he kept the remaining apples, how many apples did he keep? (t and y are positive integers.)

(1) y ≥ 15 and t = 2
(2) y = 17

DS86502.01
OG2020 NEW QUESTION

We need to determine the value of 76 - 4y - 3t.

Statement One Alone:

y ≥ 15 and t = 2

We do not have enough information to determine 76 - 4y - 3t.

If y = 15 and t = 2, then we have:

76 - 60 - 6 = 10 apples left for Jack to keep

If y = 16 and t = 2, then we have:

76 - 64 - 6 = 6 apples left for Jack to keep

Statement one alone is not sufficient to answer the question.

Statement Two Alone:

y = 17

Since we know nothing about t, statement two alone is not sufficient to answer the question.

Statements One and Two Together:

Using the statements together we see that y = 17 and t = 2, so we have enough information to answer the question.

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Re: Jack picked 76 apples. Of these, he sold 4y apples to Juanita and 3t a   [#permalink] 06 May 2019, 20:23
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