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It takes 4 2/3 feet of wood to make a frame for a lithograph. If wood

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It takes 4 2/3 feet of wood to make a frame for a lithograph. If wood  [#permalink]

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New post 11 Jun 2018, 22:55
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Difficulty:

  85% (hard)

Question Stats:

44% (01:59) correct 56% (01:58) wrong based on 117 sessions

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It takes \(4\frac{2}{3}\) feet of wood to make a frame for a lithograph. If wood is sold at $5 a yard and only by the yard, and a collector needs to make 4 frames, how much will the wood cost? (1 yard = 3 feet)


(A) $23.33

(B) $25

(C) $33.33

(D) $35

(E) $100

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Re: It takes 4 2/3 feet of wood to make a frame for a lithograph. If wood  [#permalink]

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New post 11 Jun 2018, 23:10

Solution



Given:
    • It takes \(\frac{14}{3}\) feet of wood to make a frame of lithograph
    • Wood is sold at $5 a yard and only by a yard
    • Collector needs to make 4 frames
    • 1 yard = 3 feet

To find:
    • The cost of wood required to make 4 frames

Approach and Working:
    • The total wood required to make 4 frames = \(\frac{14}{3} * 4 feet = \frac{56}{3} feet = \frac{56}{3} * \frac{1}{3} yards = \frac{56}{9} yards = 6.22 yards\)

As wood is sold only by the yard,
    • Total wood required = 7 yards
    • Therefore, total cost = 7 * 5 = 35

Hence, the correct answer is option D.

Answer: D
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Re: It takes 4 2/3 feet of wood to make a frame for a lithograph. If wood  [#permalink]

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New post 12 Jun 2018, 04:43
EgmatQuantExpert wrote:

Solution



Given:
    • It takes \(\frac{14}{3}\) feet of wood to make a frame of lithograph
    • Wood is sold at $5 a yard and only by a yard
    • Collector needs to make 4 frames
    • 1 yard = 3 feet

To find:
    • The cost of wood required to make 4 frames

Approach and Working:
    • The total wood required to make 4 frames = \(\frac{14}{3} * 4 feet = \frac{56}{3} feet = \frac{56}{3} * \frac{1}{3} yards = \frac{56}{9} yards = 6.22 yards\)

As wood is sold only by the yard,
    • Total wood required = 7 yards
    • Therefore, total cost = 7 * 5 = 35

Hence, the correct answer is option D.

Answer: D


I don't understand the meaning of by the yard and how 56/9 is 7 ??

Please explain.

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Re: It takes 4 2/3 feet of wood to make a frame for a lithograph. If wood  [#permalink]

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New post 12 Jun 2018, 05:07
SonalSinha803 wrote:

I don't understand the meaning of by the yard and how 56/9 is 7 ??

Please explain.

Posted from my mobile device


The term by the yard means wood is sold in quantities like 1 yard, 2 yards, 3 yards, 6 yards, 7 yards etc (always integer value, no decimal values are possible).

As 56/9 = 6.22, one must purchase 7 yards, as decimal value purchase is not possible
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Re: It takes 4 2/3 feet of wood to make a frame for a lithograph. If wood  [#permalink]

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New post 19 Dec 2018, 05:28
the question stem does not say the wood cannot be sold by partial measure in yard... I do not have this understanding, this question is not very globally applicable IMO.
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Re: It takes 4 2/3 feet of wood to make a frame for a lithograph. If wood  [#permalink]

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New post 19 Dec 2018, 06:07
faltan wrote:
the question stem does not say the wood cannot be sold by partial measure in yard... I do not have this understanding, this question is not very globally applicable IMO.


You are given that wood is sold "by the yard". This means that you cannot buy by partial yard. Imagine the sellers have a scale of a yard only. So they cannot measure 0.2 yards.

Amount of wood needed to make a frame = 4(2/3) feet = 14/3 feet
Amount of wood needed to make 4 frames = (14/3)*4 = 56/3 feet = 56/9 yards (since 3 feet is 1 yard) = 6.2 yards

Wood is sold at $5 a yard (and only by the yard so you cannot buy 0.2 yard). So he will need to buy 7 yards.
Total cost = 5*7 = $35

Answer (D)
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Re: It takes 4 2/3 feet of wood to make a frame for a lithograph. If wood &nbs [#permalink] 19 Dec 2018, 06:07
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