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To prepare his famous meatloaf, Gordon uses veal, which costs $6 per

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To prepare his famous meatloaf, Gordon uses veal, which costs $6 per  [#permalink]

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New post 07 Mar 2017, 01:00
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A
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Difficulty:

  15% (low)

Question Stats:

85% (01:42) correct 15% (03:03) wrong based on 54 sessions

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To prepare his famous meatloaf, Gordon uses veal, which costs $6 per pound, and pork, which costs $3 per pound. If the meatloaf weighs 9 pounds and costs $36, how many more pounds are used of pork than of veal?

A. 3
B. 4
C. 6
D. 7
E. 9

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Re: To prepare his famous meatloaf, Gordon uses veal, which costs $6 per  [#permalink]

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New post 07 Mar 2017, 01:47
1
Bunuel wrote:
To prepare his famous meatloaf, Gordon uses veal, which costs $6 per pound, and pork, which costs $3 per pound. If the meatloaf weighs 9 pounds and costs $36, how many more pounds are used of pork than of veal?

A. 3
B. 4
C. 6
D. 7
E. 9


x - pounds of veal
y - pounds of pork

6x+3y=36 and x+y=9, on solving the 2 equations we have x=3 and y=6

how many more pounds are used of pork than of veal =pounds of pork - pounds of veal = y-x = 6-3 =3

Hence option A is correct
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Re: To prepare his famous meatloaf, Gordon uses veal, which costs $6 per  [#permalink]

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New post 07 Mar 2017, 09:47
Answer: A

Let weight of veal used be x and weight of pork is 9-x

By method of alligation,
x _____9-x
6______3
____4__________[36/9 = 4$ per pound]
1______2

Therefore,
2x = 9-x
x = 3

Difference of weights = 6 - 3 =3
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Re: To prepare his famous meatloaf, Gordon uses veal, which costs $6 per  [#permalink]

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New post 07 Mar 2017, 11:55
Let V pounds of Veal & P pounds of Pork be used in the Meatloaf
Given:
V+P=9 ---> Equation 1

Veals costs $6/pound and Pork costs $3/pound
Given:
6V+3P=36 ---> Equation 2

Solving both equations gives, V=3 and P=6

Therefore, how many more pounds are used of pork than of veal = 3 pounds

Answer: A. 3
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Re: To prepare his famous meatloaf, Gordon uses veal, which costs $6 per  [#permalink]

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New post 21 Mar 2017, 17:02
Bunuel wrote:
To prepare his famous meatloaf, Gordon uses veal, which costs $6 per pound, and pork, which costs $3 per pound. If the meatloaf weighs 9 pounds and costs $36, how many more pounds are used of pork than of veal?

A. 3
B. 4
C. 6
D. 7
E. 9


OFFICIAL SOLUTION



To solve algebraically, we can set up two equations: v + p = 9 and 6v + 3p = 36. Multiply the first equation by 3 to get 3v + 3p = 27, and subtract it from the second equation, leaving us with 3v = 9, or v = 3. Plugging back in to the first equation gives us p = 6, and our final step is 6 - 3 = 3.

Alternatively, we know that the meatloaf price per pound is 36/9 = 4, and we can use the “tug of war” method to figure out the ratio of veal to pork: 3 ____ 4 _____ 6, so veal:pork is 1:2. With the total of 9 pounds, we know that it must be veal:pork = 3:6, giving us a difference of 3 pounds.
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Re: To prepare his famous meatloaf, Gordon uses veal, which costs $6 per &nbs [#permalink] 21 Mar 2017, 17:02
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