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 & BThe 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