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A golf club that sold only individual and family memberships charged

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Math Expert
Joined: 02 Sep 2009
Posts: 59674
A golf club that sold only individual and family memberships charged  [#permalink]

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03 Sep 2017, 05:31
00:00

Difficulty:

45% (medium)

Question Stats:

58% (01:42) correct 42% (02:04) wrong based on 35 sessions

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A golf club that sold only individual and family memberships charged \$400 for an individual membership. If the club's total revenue from memberships was \$600,000, what was the charge for a family membership?

(1) The club sold twice as many family memberships as individual ones
(2) The revenue from individual memberships was 1/3 of the total revenue from memberships

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Joined: 25 Mar 2016
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Concentration: Finance, General Management
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A golf club that sold only individual and family memberships charged  [#permalink]

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04 Sep 2017, 09:36
Bunuel wrote:
A golf club that sold only individual and family memberships charged \$400 for an individual membership. If the club's total revenue from memberships was \$600,000, what was the charge for a family membership?

(1) The club sold twice as many family memberships as individual ones
(2) The revenue from individual memberships was 1/3 of the total revenue from memberships

From statement 1 we can deduce

400*I + F*2*I=\$600,000 ( Where I is number of individuals and F was charge for family membership)

So we have one equation and 2 unknown variable so we can not solve it

From 2 we can have

400*I +F*M =\$600000 (Where M is number family membership)

400*I + 1200*I=\$600,000(From Statement 2)

So we can find I from above equation but still doesn't help us to find "F" (charge of family membership)

So combining statement 1 & 2 we can find the answer of above question
A golf club that sold only individual and family memberships charged   [#permalink] 04 Sep 2017, 09:36
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