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• ### $450 Tuition Credit & Official CAT Packs FREE January 15, 2019 January 15, 2019 10:00 PM PST 11:00 PM PST EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth$100 with the 3 Month Pack ($299) • ### The winning strategy for a high GRE score January 17, 2019 January 17, 2019 08:00 AM PST 09:00 AM PST Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL. # Cottages at a resort are rented for half the summer price in each of  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: ### Hide Tags Math Expert Joined: 02 Sep 2009 Posts: 52110 Cottages at a resort are rented for half the summer price in each of [#permalink] ### Show Tags 24 Dec 2018, 22:35 00:00 Difficulty: 85% (hard) Question Stats: 58% (02:07) correct 42% (02:08) wrong based on 60 sessions ### HideShow timer Statistics Cottages at a resort are rented for half the summer price in each of the 3 spring months and one-third the summer price in each of the 6 fall and winter months. If each cottage brings in a total of$3,861 when rented for each of the 12 months of the year, what is the monthly rent for each of the 3 summer months?

(A) $297 (B)$397
(C) $594 (D)$702
(E) $858 _________________ Manager Joined: 28 Jul 2016 Posts: 206 Location: India Concentration: Finance, Human Resources GPA: 3.97 Re: Cottages at a resort are rented for half the summer price in each of [#permalink] ### Show Tags 24 Dec 2018, 22:50 Let the price per month for summer be$x.
/hence the price for entire year would be 3x+ \frac{3x}{2}+\frac{6x}{3}= 3861
final equation becomes [fraction][/fraction]13x/2 = 3861
x = 594;
thus monthly rent = $594 Answer C _________________ Please give Kudos. Kudos encourage active discussions and help the community grow VP Joined: 18 Aug 2017 Posts: 1150 Location: India Concentration: Sustainability, Marketing WE: Marketing (Energy and Utilities) Re: Cottages at a resort are rented for half the summer price in each of [#permalink] ### Show Tags 25 Dec 2018, 07:06 Bunuel wrote: Cottages at a resort are rented for half the summer price in each of the 3 spring months and one-third the summer price in each of the 6 fall and winter months. If each cottage brings in a total of$3,861 when rented for each of the 12 months of the year, what is the monthly rent for each of the 3 summer months?

(A) $297 (B)$397
(C) $594 (D)$702
(E) $858 let summer price be x we can say 3x/2+2x+3x = 3861 x = 594 IMO C _________________ If you liked my solution then please give Kudos. Kudos encourage active discussions. VP Joined: 18 Aug 2017 Posts: 1150 Location: India Concentration: Sustainability, Marketing WE: Marketing (Energy and Utilities) Re: Cottages at a resort are rented for half the summer price in each of [#permalink] ### Show Tags 26 Dec 2018, 01:19 1 Bunuel wrote: Cottages at a resort are rented for half the summer price in each of the 3 spring months and one-third the summer price in each of the 6 fall and winter months. If each cottage brings in a total of$3,861 when rented for each of the 12 months of the year, what is the monthly rent for each of the 3 summer months?

(A) $297 (B)$397
(C) $594 (D)$702
(E) $858 Bunuel Hello please review the answer choice, it should be C not B.. _________________ If you liked my solution then please give Kudos. Kudos encourage active discussions. Math Expert Joined: 02 Sep 2009 Posts: 52110 Re: Cottages at a resort are rented for half the summer price in each of [#permalink] ### Show Tags 26 Dec 2018, 02:50 Archit3110 wrote: Bunuel wrote: Cottages at a resort are rented for half the summer price in each of the 3 spring months and one-third the summer price in each of the 6 fall and winter months. If each cottage brings in a total of$3,861 when rented for each of the 12 months of the year, what is the monthly rent for each of the 3 summer months?

(A) $297 (B)$397
(C) $594 (D)$702
(E) $858 Bunuel Hello please review the answer choice, it should be C not B.. __________________ Edited. Thank you. _________________ SVP Joined: 26 Mar 2013 Posts: 1996 Re: Cottages at a resort are rented for half the summer price in each of [#permalink] ### Show Tags 27 Dec 2018, 03:22 Bunuel wrote: Cottages at a resort are rented for half the summer price in each of the 3 spring months and one-third the summer price in each of the 6 fall and winter months. If each cottage brings in a total of$3,861 when rented for each of the 12 months of the year, what is the monthly rent for each of the 3 summer months?

(A) $297 (B)$397
(C) $594 (D)$702
(E) \$858

Let the cost of each each month in summer = x......Therefore total cost in summer = 3x

Then, cost of each each month in spring = $$\frac{1}{2}$$x......Therefore total cost in sparing = $$\frac{3}{2}$$x

Also cost of each each month in fall or winter = $$\frac{1}{2}$$x......Therefore total cost in fall and winter = 2x

$$3x + 2x+ \frac{3}{2}x$$= 3861.....multiple by 2

13x = 3861 * 2 ( do not calculate)

Here x Must be Even............eliminate A & B

The unit digit of 3861 * 2 is 2.Therefore scan the other choices to see if 13x gives unit digit 2.....By eyes.....only one answer fits

Re: Cottages at a resort are rented for half the summer price in each of &nbs [#permalink] 27 Dec 2018, 03:22
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