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Cottages at a resort are rented for half the summer price in each of

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Cottages at a resort are rented for half the summer price in each of  [#permalink]

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New post 24 Dec 2018, 23:35
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A
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C
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E

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  75% (hard)

Question Stats:

63% (02:44) correct 37% (02:27) wrong based on 66 sessions

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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

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Re: Cottages at a resort are rented for half the summer price in each of  [#permalink]

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New post 24 Dec 2018, 23:50
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
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Re: Cottages at a resort are rented for half the summer price in each of  [#permalink]

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New post 25 Dec 2018, 08:06
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
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Re: Cottages at a resort are rented for half the summer price in each of  [#permalink]

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New post 26 Dec 2018, 02:19
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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..
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Re: Cottages at a resort are rented for half the summer price in each of  [#permalink]

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New post 26 Dec 2018, 03:50
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..

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Re: Cottages at a resort are rented for half the summer price in each of  [#permalink]

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New post 27 Dec 2018, 04:22
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

Answer: C
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Re: Cottages at a resort are rented for half the summer price in each of   [#permalink] 27 Dec 2018, 04:22
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