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# The table above shows the quantities and prices per pound of three

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Intern
Joined: 15 Mar 2015
Posts: 13
Concentration: Operations, Strategy
GMAT 1: 550 Q35 V30
WE: Operations (Manufacturing)
The table above shows the quantities and prices per pound of three [#permalink]

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14 May 2016, 23:50
4
7
00:00

Difficulty:

45% (medium)

Question Stats:

71% (01:20) correct 29% (01:29) wrong based on 260 sessions

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The table above shows the quantities and prices per pound of three types of nuts that are combined to make a nut mixture. The mixture contains twice as many pounds of cashews as pounds of almonds, and 3 times as many pounds of walnuts as pounds of almonds. What is the cost of the mixture, in dollars, expressed in terms of a?

A) 4a
B) 6a
C) 13.5a
D) 20.5a
E) 24.5a

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PS Table.JPG [ 18.11 KiB | Viewed 6022 times ]

Math Expert
Joined: 02 Aug 2009
Posts: 6246
Re: The table above shows the quantities and prices per pound of three [#permalink]

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15 May 2016, 00:02
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4
TurgCorp wrote:
The table above shows the quantities and prices per pound of three types of nuts that are combined to make a nut mixture. The mixture contains twice as many pounds of cashews as pounds of almonds, and 3 times as many pounds of walnuts as pounds of almonds. What is the cost of the mixture, in dollars, expressed in terms of a?

A) 4a
B) 6a
C) 13.5a
D) 20.5a
E) 24.5a

hi

1) cashew = c and almonds = a
Quote:
The mixture contains twice as many pounds of cashews as pounds of almonds

$$c=2a$$

2) walnuts = w and almonds = a
Quote:
3 times as many pounds of walnuts as pounds of almonds.

$$w=3a...$$

lets add the price of all three from given table-
$$3.5*c + 4*a + 4.5*w = 3.5 * 2a + 4 * a + 4.5 * 3a = 7a+4a+13.5a = 24.5a$$

E
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##### General Discussion
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Re: The table above shows the quantities and prices per pound of three [#permalink]

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15 May 2016, 10:56
2
2
TurgCorp wrote:
The table above shows the quantities and prices per pound of three types of nuts that are combined to make a nut mixture. The mixture contains twice as many pounds of cashews as pounds of almonds, and 3 times as many pounds of walnuts as pounds of almonds. What is the cost of the mixture, in dollars, expressed in terms of a?

A) 4a
B) 6a
C) 13.5a
D) 20.5a
E) 24.5a

Solved in tabular way

Attachment:

Capture.PNG [ 4.48 KiB | Viewed 5968 times ]

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Intern
Joined: 06 Apr 2015
Posts: 1
Re: The table above shows the quantities and prices per pound of three [#permalink]

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01 Aug 2016, 17:46
Hi Can any one explain how to decipher phrases such as "Twice as many pounds of cashews as almonds" etc ? I always get these statements wrong. Need help asap.
Intern
Joined: 06 Jul 2014
Posts: 2
The table above shows the quantities and prices per pound of three [#permalink]

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08 Jan 2017, 07:00
Abe87 wrote:
Hi Can any one explain how to decipher phrases such as "Twice as many pounds of cashews as almonds" etc ? I always get these statements wrong. Need help asap.

Hi its easy, you can just remeber it this way
"the variable which is at the center(cashews) " = "the factor by which it is greater/Lesser (twice)" * "the variable at the end(almonds)"
This works all the time u can just try it out.
Dont try to decipher just write it this way.

Hope this helps...
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The table above shows the quantities and prices per pound of three [#permalink]

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06 Apr 2018, 20:17
Top Contributor
Just "make it true" by setting a=1, c=2 and w=3. You now have 6 pounds of cashews that average out to slightly more than $4 per pound.$4/pound x 6 pounds = \$24, so the answer must be Choice E.

-Brian
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The table above shows the quantities and prices per pound of three   [#permalink] 06 Apr 2018, 20:17
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