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18 Dec 2014, 06:17
1
4
00:00

Difficulty:

15% (low)

Question Stats:

80% (01:54) correct 20% (01:16) wrong based on 101 sessions

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Tough and Tricky questions: Word Problems.

A swim club that sold only individual and family memberships charged $300 for an individual membership. If the club’s total revenue from memberships was$480,000, what was the charge for a family membership ?

(1) The revenue from individual memberships was 1/4 of the total revenue from memberships.
(2) The club sold 1.5 times as many family member- ships as individual memberships.

Kudos for a correct solution.

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Updated on: 19 Dec 2014, 18:07
1

Statement 1. - Let the revenue generated from individuals be i, Therefore that generated from families is f = 480,000 - i
The statement says that 480,000 - i = 3i, solving for i we can get the values of i & f.
This however does not provide us with the value of the charge for a family membership.
Hence insufficient.
Statement 2. - This statement too is insufficient as it gives us the numbers of the subscriptions as a proportion and not the exact values.

When combined, we can deduce the exact charge for a family membership.

Hence C

Originally posted by omegacube on 18 Dec 2014, 21:13.
Last edited by omegacube on 19 Dec 2014, 18:07, edited 1 time in total.
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Joined: 27 Nov 2014
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Re: A swim club that sold only individual and family memberships charged $[#permalink] Show Tags 19 Dec 2014, 08:45 2 Bunuel wrote: Tough and Tricky questions: Word Problems. A swim club that sold only individual and family memberships charged$300 for an individual membership. If the club’s total revenue from memberships was $480,000, what was the charge for a family membership ? (1) The revenue from individual memberships was 1/4 of the total revenue from memberships. (2) The club sold 1.5 times as many family member- ships as individual memberships. Kudos for a correct solution. x+y=480,000 x= total revenue from individual memberships = Individual Memberships [i] * Individual Rate [r1] y= total revenue from family memberships = Family Memberships [f] * Family Rate [r2] (1) The revenue from individual memberships was 1/4 of the total revenue from memberships. x= $$\frac{1}{4}$$*$480,000 = $120,000 x= i * r1 = i*$300 = $120,000 ==> i= 400 individual memberships y= $$\frac{3}{4}$$*$480,000 = $360,000 y= f * r2 ==> two unknown variables, hence Not Sufficient. (2) The club sold 1.5 times as many family member- ships as individual memberships. x+y =$480,000; and r1=$300 ==> (i *$300) + (f * r2) = $480,000, where f = $$\frac{3}{2}$$i (i *$300) + (f * r2) = (i*$300)+($$\frac{3}{2}$$i*r2) =$480,000 ==> We still have two unknown variables and one equation, hence Not sufficient.

(1) + (2)

(1) i=400 memberships; and y=$360,000 (2) f= 1.5i = $$\frac{3}{2}$$ * 400 = 600 family memberships y=$360,000 ==> y = f*r2 ==> 600 * r2 = $360,000 r2=$600, thus Sufficient, Answer is C.
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22 Dec 2014, 06:59
Bunuel wrote:

Tough and Tricky questions: Word Problems.

A swim club that sold only individual and family memberships charged $300 for an individual membership. If the club’s total revenue from memberships was$480,000, what was the charge for a family membership ?

(1) The revenue from individual memberships was 1/4 of the total revenue from memberships.
(2) The club sold 1.5 times as many family member- ships as individual memberships.

Kudos for a correct solution.

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Joined: 09 Sep 2013
Posts: 8801
Re: A swim club that sold only individual and family memberships charged $[#permalink] Show Tags 07 Jul 2018, 08:16 Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ Re: A swim club that sold only individual and family memberships charged$ &nbs [#permalink] 07 Jul 2018, 08:16
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