GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 01 Jun 2020, 08:51

### 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

# A photographer has visited exactly 42 countries, all of which have bee

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 64115
A photographer has visited exactly 42 countries, all of which have bee  [#permalink]

### Show Tags

19 Mar 2020, 07:18
00:00

Difficulty:

15% (low)

Question Stats:

88% (01:36) correct 12% (02:09) wrong based on 33 sessions

### HideShow timer Statistics

A photographer has visited exactly 42 countries, all of which have been in Africa, Europe, or Asia. If the photographer has been to 6 more countries in Europe than in Asia, and twice as many in Africa as in Europe, how many countries in Asia has the photographer visited?

A. 4
B. 6
C. 12
D. 18
E. 24

_________________
GMAT Club Legend
Joined: 11 Sep 2015
Posts: 4881
GMAT 1: 770 Q49 V46
A photographer has visited exactly 42 countries, all of which have bee  [#permalink]

### Show Tags

19 Mar 2020, 07:41
Top Contributor
Bunuel wrote:
A photographer has visited exactly 42 countries, all of which have been in Africa, Europe, or Asia. If the photographer has been to 6 more countries in Europe than in Asia, and twice as many in Africa as in Europe, how many countries in Asia has the photographer visited?

A. 4
B. 6
C. 12
D. 18
E. 24

Let's solve the question using only one variable

The photographer has been to 6 more countries in Europe than in Asia
Let A = the number of countries visited in Asia
So, A + 6 = the number of countries visited in Europe

The photographer has been to and twice as many in Africa as in Europe
We already know that A + 6 = the number of countries visited in Europe
So, 2(A + 6) = the number of countries visited in Africa

The photographer has visited exactly 42 countries
We can write: A + (A + 6) + 2(A + 6) = 42
Expand and simplify the left side: 4A + 18 = 42
Subtract 18 from both sides: 4A = 24
Solve: A = 6

So, the photographer visited 6 countries in Asia

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
CEO
Joined: 03 Jun 2019
Posts: 2919
Location: India
GMAT 1: 690 Q50 V34
WE: Engineering (Transportation)
A photographer has visited exactly 42 countries, all of which have bee  [#permalink]

### Show Tags

19 Mar 2020, 08:30
Bunuel wrote:
A photographer has visited exactly 42 countries, all of which have been in Africa, Europe, or Asia. If the photographer has been to 6 more countries in Europe than in Asia, and twice as many in Africa as in Europe, how many countries in Asia has the photographer visited?

A. 4
B. 6
C. 12
D. 18
E. 24

Given: A photographer has visited exactly 42 countries, all of which have been in Africa, Europe, or Asia.

Asked: If the photographer has been to 6 more countries in Europe than in Asia, and twice as many in Africa as in Europe, how many countries in Asia has the photographer visited?

Let the countries visited in Africa, Europe and Asia be F, E & A respectively

A photographer has visited exactly 42 countries, all of which have been in Africa, Europe, or Asia.
F + E + A = 42. (1)

The photographer has been to 6 more countries in Europe than in Asia
E = A + 6. (2)

The photographer has been to twice as many countries in Africa as in Europe
F = 2E. (3)

Putting values of F & E in terms of A in (1)
2(A+6) + (A+6) + A = 42
4A = 42 - 18 = 24
A = 6

IMO B
_________________
Kinshook Chaturvedi
Email: kinshook.chaturvedi@gmail.com
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 10637
Location: United States (CA)
Re: A photographer has visited exactly 42 countries, all of which have bee  [#permalink]

### Show Tags

21 Mar 2020, 14:57
Bunuel wrote:
A photographer has visited exactly 42 countries, all of which have been in Africa, Europe, or Asia. If the photographer has been to 6 more countries in Europe than in Asia, and twice as many in Africa as in Europe, how many countries in Asia has the photographer visited?

A. 4
B. 6
C. 12
D. 18
E. 24

We can let F, E and A = the number of countries he visited in Africa, Europe, and Asia, respectively. We can create the 3 equations:

F + E + A = 42

and

E = A + 6

E - 6 = A

and

F = 2E

Substituting, we have:

2E + E + E - 6 = 42

4E = 48

E = 12

Since A = E - 6, then A = 6.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
202 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Re: A photographer has visited exactly 42 countries, all of which have bee   [#permalink] 21 Mar 2020, 14:57