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# Tina, Ed, and Lauren agree to share the cost of a gift and to make the

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Joined: 02 Sep 2009
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Tina, Ed, and Lauren agree to share the cost of a gift and to make the  [#permalink]

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17 May 2018, 23:54
00:00

Difficulty:

5% (low)

Question Stats:

93% (01:40) correct 7% (01:04) wrong based on 40 sessions

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Tina, Ed, and Lauren agree to share the cost of a gift and to make their contributions in proportion to their ages. Ed’s age is $$\frac{1}{2}$$ of Tina’s age, and Lauren’s age is $$\frac{1}{3}$$ of Ed’s age. If Lauren’s share of the cost is $2.50, what is the cost of the gift? (A)$25
(B) $20 (C)$15
(D) $12 (E)$10

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Re: Tina, Ed, and Lauren agree to share the cost of a gift and to make the  [#permalink]

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18 May 2018, 01:33

Solution

Given:
• A gift’s price will be shared by Tina, Ed, and Lauren and their contribution will be in proportion to their ages
• Ed’s age is $$\frac{1}{2}$$ of Tina’s age
• Lauren’s age is $$\frac{1}{3}$$ of Ed’s age
• Lauren’s share of the cost is $2.50 To find: • The cost of the gift Approach and Working: If we assume the age of Tina is x, then • Age of Ed = $$\frac{1}{2} * x = \frac{x}{2}$$ • Age of Lauren = $$\frac{1}{3} * \frac{x}{2} = \frac{x}{6}$$ Hence, the ratio of their share = T : E : L = $$x : \frac{x}{2} : \frac{x}{6}$$ = 6 : 3 : 1 From the ratio, we can say Lauren’s share is $$\frac{1}{10}$$th of the total, which is given as$2.50
• Hence, the total value = $$2.50 * 10$$ = \$25
Hence, the correct answer is option A.

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Re: Tina, Ed, and Lauren agree to share the cost of a gift and to make the  [#permalink]

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06 Aug 2018, 07:15
T:E = 2:1 = 6:3
E:L = 3:1

Therefore, T:E:L = 6:3:1. A total of 10 units.

Total cost of gift = 10 * 2.50 = 25
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Re: Tina, Ed, and Lauren agree to share the cost of a gift and to make the &nbs [#permalink] 06 Aug 2018, 07:15
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