GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 21 Jan 2019, 16:15

### GMAT 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

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

## Events & Promotions

###### Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### GMAT Club Tests are Free & Open for Martin Luther King Jr.'s Birthday!

January 21, 2019

January 21, 2019

10:00 PM PST

11:00 PM PST

Mark your calendars - All GMAT Club Tests are free and open January 21st for celebrate Martin Luther King Jr.'s Birthday.
• ### The winners of the GMAT game show

January 22, 2019

January 22, 2019

10:00 PM PST

11:00 PM PST

In case you didn’t notice, we recently held the 1st ever GMAT game show and it was awesome! See who won a full GMAT course, and register to the next one.

# M15-33

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52344

### Show Tags

15 Sep 2014, 23:57
00:00

Difficulty:

55% (hard)

Question Stats:

59% (00:53) correct 41% (00:51) wrong based on 122 sessions

### HideShow timer Statistics

If 4 small boxes and 5 big boxes weigh the same as 11 small boxes and 2 big boxes, how much does one small box weigh?

(1) One big box weighs 1 kg more than one small box.

(2) The ratio of the weight of one small box to the weight of one big box is $$\frac{3}{7}$$.

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 52344

### Show Tags

15 Sep 2014, 23:57
1
Official Solution:

If 4 small boxes and 5 big boxes weigh the same as 11 small boxes and 2 big boxes, how much does one small box weigh?

Given: $$4s+5b=11s+2b$$, so $$3b=7s$$. Question: $$s=?$$

(1) One big box weighs 1 kg more than one small box. Given: $$b=s+1$$. Substitute $$b$$: $$3(s+1)=7s$$, which gives $$s=\frac{3}{4}$$. Sufficient.

(2) The ratio of the weight of one small box to the weight of one big box is $$\frac{3}{7}$$. Given: $$\frac{s}{b}=\frac{3}{7}$$, or $$3b=7s$$, the same info as in the stem. Not sufficient.

_________________
Intern
Joined: 07 Sep 2014
Posts: 18
Location: United States (MA)
Concentration: Finance, Economics

### Show Tags

02 Dec 2014, 11:37
Bunuel wrote:
Official Solution:

Given: $$4s+5b=11s+2b$$, so $$3b=7s$$. Question: $$s=?$$

(1) One big box weighs 1 kg more than one small box. Given: $$b=s+1$$. Substitute $$b$$: $$3(s+1)=7s$$, which gives $$s=\frac{3}{4}$$. Sufficient.

(2) The ratio of the weight of one small box to the weight of one big box is $$\frac{3}{7}$$. Given: $$\frac{s}{b}=\frac{3}{7}$$, or $$3b=7s$$, the same info as in the stem. Not sufficient.

with s=3/4, is that telling us that the small box weighs 3/4 kg of that it is 3/4 the weight of the larger box?
Math Expert
Joined: 02 Sep 2009
Posts: 52344

### Show Tags

03 Dec 2014, 03:12
bsmith37 wrote:
Bunuel wrote:
Official Solution:

Given: $$4s+5b=11s+2b$$, so $$3b=7s$$. Question: $$s=?$$

(1) One big box weighs 1 kg more than one small box. Given: $$b=s+1$$. Substitute $$b$$: $$3(s+1)=7s$$, which gives $$s=\frac{3}{4}$$. Sufficient.

(2) The ratio of the weight of one small box to the weight of one big box is $$\frac{3}{7}$$. Given: $$\frac{s}{b}=\frac{3}{7}$$, or $$3b=7s$$, the same info as in the stem. Not sufficient.

with s=3/4, is that telling us that the small box weighs 3/4 kg of that it is 3/4 the weight of the larger box?

$$s=\frac{3}{4}$$ means that the small box weighs 3/4 kg and the big box weighs $$3b=7*\frac{3}{4}$$ --> $$b = \frac{7}{4}$$ kg.
_________________
Senior Manager
Joined: 08 Jun 2015
Posts: 432
Location: India
GMAT 1: 640 Q48 V29
GMAT 2: 700 Q48 V38
GPA: 3.33

### Show Tags

10 Feb 2017, 06:45
Option A it is. As per the question, 4S+5B=11S+2B. From this , S/B=3/7. We need to find S.

Statement 1 : b=s+1. This is sufficient.
Statement 2 : S/B=3/7. No new info. Hence in-sufficient.

The answer must be option A.
_________________

" The few , the fearless "

Re: M15-33 &nbs [#permalink] 10 Feb 2017, 06:45
Display posts from previous: Sort by

# M15-33

Moderators: chetan2u, Bunuel

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.