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A group of college friends plan to rent a house together for x dollars per month, which is to be shared equally among them. If five, rather than eight people rent the house together, how many more dollars, in terms of x, will each person have to pay for rent per month?
A. x/3
B. x/5
C. x/8
D. 3x/20
E. 3x/40
Kudos for correct solution.
A. x/3
B. x/5
C. x/8
D. 3x/20
E. 3x/40
Kudos for correct solution.
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20 Feb 2016, 04:39
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Bunuel
A group of college friends plan to rent a house together for x dollars per month, which is to be shared equally among them. If five, rather than eight people rent the house together, how many more dollars, in terms of x, will each person have to pay for rent per month?
A. x/3
B. x/5
C. x/8
D. 3x/20
E. 3x/40
Kudos for correct solution.
A. x/3
B. x/5
C. x/8
D. 3x/20
E. 3x/40
Kudos for correct solution.
consider rent amount X=400
If 5......... rent/person=80
If 8..........rent/person=50
Difference =30
Choice D.........3*400/20= 60
choice E ......30
Answer: E
13 Sep 2017, 08:51
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Bunuel
A group of college friends plan to rent a house together for x dollars per month, which is to be shared equally among them. If five, rather than eight people rent the house together, how many more dollars, in terms of x, will each person have to pay for rent per month?
A. x/3
B. x/5
C. x/8
D. 3x/20
E. 3x/40
Kudos for correct solution.
Picking numbers is probably faster (where x is a multiple of 5 and 8), but algebraically:A. x/3
B. x/5
C. x/8
D. 3x/20
E. 3x/40
Kudos for correct solution.
(Total cost)/(# of persons) = cost per person
Cost per person with 8 persons, where total cost is x, is \(\frac{x}{8}\)
If 5 persons, then cost per person is \(\frac{x}{5}\)
The difference in cost per person is (choose the smaller fraction to subtract)
\(\frac{x}{5}\) - \(\frac{x}{8}\) =
\(\frac{(8x-5x)}{40}\) = \(\frac{3x}{40}\)
Answer E
