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

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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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New post 18 May 2018, 00:54
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A
B
C
D
E

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  15% (low)

Question Stats:

90% (01:40) correct 10% (01:24) wrong based on 41 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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New post 18 May 2018, 02:33

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.

Answer: 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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New post 06 Aug 2018, 08:15
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   [#permalink] 06 Aug 2018, 08:15
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