At the Trenchard Oaks apartment complex, a two-bedroom

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BTGmoderatorLU: Moderator; Posts: 2505; Joined: Sun Oct 15, 2017 1:50 pm; Followed by:6 members

At the Trenchard Oaks apartment complex, a two-bedroom

by BTGmoderatorLU » Thu Nov 15, 2018 3:11 pm

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Source: Veritas Prep

At the Trenchard Oaks apartment complex, a two-bedroom apartment costs 50% more to rent than a one-bedroom apartment. If Alex were to rent a two-bedroom apartment for x months it would cost him the same amount as it would to rent a one-bedroom for 12 months. What is x?

A. 6
B. 8
C. 9
D. 10
E. 18

The OA is B.

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Source: Beat The GMAT — Problem Solving | Thu Nov 15, 2018 3:11 pm

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pm; Location: Vancouver, BC; Thanked: 5254 times; Followed by:1268 members; GMAT Score:770

by Brent@GMATPrepNow » Thu Nov 15, 2018 3:30 pm

BTGmoderatorLU wrote:At the Trenchard Oaks apartment complex, a two-bedroom apartment costs 50% more to rent than a one-bedroom apartment. If Alex were to rent a two-bedroom apartment for x months it would cost him the same amount as it would to rent a one-bedroom for 12 months. What is x?

A. 6
B. 8
C. 9
D. 10
E. 18

A fast and easy approach is to assign a "nice" value to the monthly rent of a ONE-bedroom apartment.
Let's say the rent on a ONE-bedroom apartment is $100 per month

A two-bedroom apartment costs 50% more to rent than a one-bedroom apartment
50% of $100 = $50
So, the rent on a TWO-bedroom unit = $100 + $50 = $150 per month

If Alex were to rent a TWO-bedroom apartment for x months it would cost him the same amount as it would to rent a one-bedroom for 12 months
At $150 per month for x months, the TOTAL rent for a TWO-bedroom apartment = 150x
At $100 per month for 12 months, the TOTAL rent for a ONE-bedroom apartment = 1200 dollars

So, we can write: 150x = 1200
So, x = 1200/15 = 8

Answer: B

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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by [email protected] » Thu Nov 15, 2018 10:03 pm

Hi All,

We're told that a two-bedroom apartment costs 50% more to rent than a one-bedroom apartment. If Alex were to rent a two-bedroom apartment for X months it would cost him the same amount as it would to rent a one-bedroom for 12 months. We're asked for the value of X. This question can be solved in a couple of different ways. TESTing VALUES works really well (as Brent has shown); it can also be solved by TESTing THE ANSWERS.

Since a two-bedroom apartment costs 50% more than a one-bedroom apartment, we need to find a value for X that, when increased by 50%, equals 12. Since a 50% increase is NOT the same as DOUBLING a value, we can eliminate Answer A. Let's TEST Answer B first.

Answer B: 8 months
IF... X = 8, then 50% MORE than 8 would be (1.5)(8) = 12
This is an exact match for what we were told, so this must be the answer.

Final Answer: B

GMAT assassins aren't born, they're made,
Rich

Contact Rich at [email protected]

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GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pm; Location: New York, NY; Thanked: 13060 times; Followed by:1906 members; GMAT Score:790

by GMATGuruNY » Fri Nov 16, 2018 4:16 am

BTGmoderatorLU wrote:Source: Veritas Prep

At the Trenchard Oaks apartment complex, a two-bedroom apartment costs 50% more to rent than a one-bedroom apartment. If Alex were to rent a two-bedroom apartment for x months it would cost him the same amount as it would to rent a one-bedroom for 12 months. What is x?

A. 6
B. 8
C. 9
D. 10
E. 18

The OA is B.

Let the one-bedroom rent = $2 per month, implying that the two-bedroom rent = 2 + (50% of 2) = 2 + 1 = $3 per month.
Since the rent for a one-bedroom apartment = $2 per month, the total amount to rent a one-bedroom apartment for 12 months = 2*12 = $24.
For $24, the number of months yielded for a $3-per-month two-bedroom apartment = 24/3 = 8.

The correct answer is B.

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fskilnik@GMATH: GMAT Instructor; Posts: 1449; Joined: Sat Oct 09, 2010 2:16 pm; Thanked: 59 times; Followed by:33 members

by fskilnik@GMATH » Fri Nov 16, 2018 4:25 am

BTGmoderatorLU wrote:Source: Veritas Prep

At the Trenchard Oaks apartment complex, a two-bedroom apartment costs 50% more to rent than a one-bedroom apartment. If Alex were to rent a two-bedroom apartment for x months it would cost him the same amount as it would to rent a one-bedroom for 12 months. What is x?

A. 6
B. 8
C. 9
D. 10
E. 18

$$? = x$$
$$\left. \matrix{
{\rm{1 - bed}}\,\,:\,\,\,\$ 2M\,\,{\rm{per}}\,\,{\rm{month}}\,\,\,\,\, \Rightarrow \,\,\,\,\,\,12 \cdot {\rm{\$ }}2M\,\,\,{\rm{per}}\,\,12\,\,{\rm{months}} \hfill \cr
{\rm{2 - bed}}\,\,{\rm{:}}\,\,\,\$ 3M\,\,{\rm{per}}\,\,{\rm{month}}\,\,\,\,\, \Rightarrow \,\,\,\,\,\,x \cdot {\rm{\$ 3}}M\,\,{\rm{per}}\,\,x\,\,{\rm{months}}\,\,\, \hfill \cr} \right\}\,\,\,\,\mathop \Rightarrow \limits^{{\rm{stem}}} \,\,\,24M = x \cdot 3M\,\,\,\,\,\mathop \Rightarrow \limits^{M\, \ne \,0} \,\,\,\,\,? = \,x = 8$$

This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.

Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
English-speakers :: https://www.gmath.net
Portuguese-speakers :: https://www.gmath.com.br

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by Scott@TargetTestPrep » Sun Mar 31, 2019 10:50 am

BTGmoderatorLU wrote:Source: Veritas Prep

At the Trenchard Oaks apartment complex, a two-bedroom apartment costs 50% more to rent than a one-bedroom apartment. If Alex were to rent a two-bedroom apartment for x months it would cost him the same amount as it would to rent a one-bedroom for 12 months. What is x?

A. 6
B. 8
C. 9
D. 10
E. 18

The OA is B.

We can let n = the cost to rent a one-bedroom apartment per month. Therefore, the cost for a two-bedroom apartment per month = 1.5n; thus:

1.5nx = 12n

1.5x = 12

x = 8

Answer: B

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