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

Question

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

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

globaldesi · Answer

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   13x/2 = 3861
x = 594;
thus monthly rent = $594
Answer C

Archit3110 · Answer

let summer price be x

we can say 
3x/2+2x+3x = 3861

x = 594 
IMO C

Mo2men · Answer

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

Abhishek009 · Answer

\frac{3*s}{2} + \frac{6s}{3} + 3s = 3861

Or,  \frac{3s}{2} + 2s + 3s = 3861

Or,  13s = 3861*2

Or,  s = 594 , Answer must be (C)

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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

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