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# A group of children start a mowing and raking team called Gardening

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Manager
Joined: 24 Oct 2016
Posts: 241
GMAT 1: 670 Q46 V36
A group of children start a mowing and raking team called Gardening  [#permalink]

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03 Jul 2018, 17:28
4
00:00

Difficulty:

45% (medium)

Question Stats:

69% (03:24) correct 31% (03:40) wrong based on 43 sessions

A group of children start a mowing and raking team called Gardening Guys that services one neighborhood house a day for 21 days. Each day, Gardening Guys receives $50 for their services and divides it equally between all the children who serviced the house that day. For one week (7 days), 3 children on the team go to camp and can’t work on the team, but they work every day they are not in camp. Everyone else works on the team every day. If there are k total children in Gardening Guys, where k > 3, how much will Lamar, who does not go to camp, make from working on the team? A. $$\frac{1050}{k(k-2)(k-3)}$$ B. $$\frac{1050k}{(k-3)}$$ C. $$\frac{1050(k-3)}{k(k-2)}$$ D. $$\frac{1050}{k(k-3)}$$ E. $$\frac{1050(k-2)}{k(k-3)}$$ _________________ Verb Tenses Simplified If you found my post useful, KUDOS are much appreciated. Giving Kudos is a great way to thank and motivate contributors, without costing you anything. Manager Joined: 07 Feb 2017 Posts: 188 Re: A group of children start a mowing and raking team called Gardening [#permalink] ### Show Tags 03 Jul 2018, 19:01 50*14/k+350/(k-3) IMO answer E Is really 700 level question? Senior Manager Joined: 04 Aug 2010 Posts: 310 Schools: Dartmouth College Re: A group of children start a mowing and raking team called Gardening [#permalink] ### Show Tags 05 Jul 2018, 15:16 3 dabaobao wrote: A group of children start a mowing and raking team called Gardening Guys that services one neighborhood house a day for 21 days. Each day, Gardening Guys receives$50 for their services and divides it equally between all the children who serviced the house that day. For one week (7 days), 3 children on the team go to camp and can’t work on the team, but they work every day they are not in camp. Everyone else works on the team every day. If there are k total children in Gardening Guys, where k > 3, how much will Lamar, who does not go to camp, make from working on the team?

A. $$\frac{1050}{k(k-2)(k-3)}$$
B. $$\frac{1050k}{(k-3)}$$
C. $$\frac{1050(k-3)}{k(k-2)}$$
D. $$\frac{1050}{k(k-3)}$$
E. $$\frac{1050(k-2)}{k(k-3)}$$

Let k=4. implying a total of 4 children.

On the 14 non-camp days when all 4 children work, Lamar earns $$\frac{1}{4}$$ of the total earnings.
Since $50 is earned for each of these 14 days, we get: Lamar's share = $$\frac{1}{4} * 50 * 14 = 175$$. On the 7 camp days when 3 of the 4 children attend camp and Lamar works alone, Lamar earns the entire$50 per day, for a 7-day total of $350. Thus: Total earned by Lamar = $$175+350=525$$. The correct answer must yield$525 when k=4.
Only E works:
$$\frac{1050(k-2)}{k(k-3)} = \frac{1050(4-2)}{4(4-3)} = 1050(\frac{2}{4}) = 1050(\frac{1}{2}) = 525$$

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Re: A group of children start a mowing and raking team called Gardening &nbs [#permalink] 05 Jul 2018, 15:16
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