GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
A pomegranate grower packages pomegranates in 10-pound and 20-pound b
[#permalink]
14 Jun 2023, 16:56
14 Jun 2023, 16:56
1
Expert Reply
11
Bookmarks
00:00
Question Stats:
27% (02:06) correct
72% (02:05) wrong based on 58 sessions
Hide Show timer Statistics
A pomegranate grower packages pomegranates in 10-pound and 20-pound boxes. If the grower fills more than twice as many 20-pound boxes as lO-pound boxes, which of the following could be the percentage of pomegranates, by weight, that are packaged in 10-pound boxes?
(A) 15%
(B) 2 0 %
(C) 25%
(D) 4 0 %
(E) 6 0 %
(A) 15%
(B) 2 0 %
(C) 25%
(D) 4 0 %
(E) 6 0 %
Re: A pomegranate grower packages pomegranates in 10-pound and 20-pound b
[#permalink]
17 Jun 2023, 04:00
17 Jun 2023, 04:00
Expert Reply
1
Bookmarks
OE
If the grower produces more than twice as many 20-pound boxes as 10-pound boxes, then more than 2/3 of the boxes will be 20-pound boxes. Therefore, less than 1/3 of the boxes will be 10-pound boxes.
Furthermore, each 20-pound box contains twice as much fruit, by weight, as does a 10-pound box. Therefore, for every pound of pomegranates packaged in 10- pound boxes, more than (2) (2) = 4 pounds will come from 20-pound boxes. This means that less than 1/1 +(2)(2)=1/5 or 20%. of the weight of the packaged pomegranates comes from 10-pound boxes. Only choice (A) is less than 20 %.
If the grower produces more than twice as many 20-pound boxes as 10-pound boxes, then more than 2/3 of the boxes will be 20-pound boxes. Therefore, less than 1/3 of the boxes will be 10-pound boxes.
Furthermore, each 20-pound box contains twice as much fruit, by weight, as does a 10-pound box. Therefore, for every pound of pomegranates packaged in 10- pound boxes, more than (2) (2) = 4 pounds will come from 20-pound boxes. This means that less than 1/1 +(2)(2)=1/5 or 20%. of the weight of the packaged pomegranates comes from 10-pound boxes. Only choice (A) is less than 20 %.
Re: A pomegranate grower packages pomegranates in 10-pound and 20-pound b
[#permalink]
08 Sep 2023, 08:34
08 Sep 2023, 08:34
1
x = 10 lb boxes and y = 20lb boxes
y > 2x
Since there are no stated numbers, make y = 300 and x = 100 (complying with the y > 2x rule)
If y = 300 and x = 100:
100(10) / (300(20) + 100(10)) = 1000/(6000+1000) = 1/7
1/7 is approximately 0.14 or 14%, closest to answer choice A.
y > 2x
Since there are no stated numbers, make y = 300 and x = 100 (complying with the y > 2x rule)
If y = 300 and x = 100:
100(10) / (300(20) + 100(10)) = 1000/(6000+1000) = 1/7
1/7 is approximately 0.14 or 14%, closest to answer choice A.
