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Mixture problem

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Mixture problem [#permalink] New post 06 Nov 2009, 21:40
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A
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E

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Question Stats:

33% (02:21) correct 67% (03:02) wrong based on 6 sessions
According to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice . How many 12 - ounce cans of the concentrate are required to prepare 200 6-ounce
servings of orange juice?
a) 25 b)34 c)50 d)67 e)100

Regards,
Rohit
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Manager
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Re: Mixture problem [#permalink] New post 07 Nov 2009, 00:30
KocharRohit wrote:
According to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice . How many 12 - ounce cans of the concentrate are required to prepare 200 6-ounce
servings of orange juice?
a) 25 b)34 c)50 d)67 e)100


1 O requires 3 W.

so for every 12 ounce can of O we would need 3 12 ounce cans of W .

So basically using 48 ounce each time.

200 x 6 = 1200 ounce of juice.

so number of 12 ounce concentrates req = 1200/48 = 25.

so A.
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Re: Mixture problem [#permalink] New post 07 Nov 2009, 07:57
jax91 wrote:
KocharRohit wrote:
According to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice . How many 12 - ounce cans of the concentrate are required to prepare 200 6-ounce
servings of orange juice?
a) 25 b)34 c)50 d)67 e)100


1 O requires 3 W.

so for every 12 ounce can of O we would need 3 12 ounce cans of W .

So basically using 48 ounce each time.

200 x 6 = 1200 ounce of juice.

so number of 12 ounce concentrates req = 1200/48 = 25.

so A.



I think you have a math error in your solution. Since we need 3 W for 1 O, we will use 3 * 12 ounce = 36 ounce each time. Therefore, the answer should be 1200/36, which is 33.33 (or approximately 34).
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Re: Mixture problem [#permalink] New post 08 Nov 2009, 00:48
Huskies wrote:
jax91 wrote:
KocharRohit wrote:
According to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice . How many 12 - ounce cans of the concentrate are required to prepare 200 6-ounce
servings of orange juice?
a) 25 b)34 c)50 d)67 e)100


1 O requires 3 W.

so for every 12 ounce can of O we would need 3 12 ounce cans of W .

So basically using 48 ounce each time.

200 x 6 = 1200 ounce of juice.

so number of 12 ounce concentrates req = 1200/48 = 25.

so A.



I think you have a math error in your solution. Since we need 3 W for 1 O, we will use 3 * 12 ounce = 36 ounce each time. Therefore, the answer should be 1200/36, which is 33.33 (or approximately 34).


1200 is the total weight of the juice i.e. water + concentrate.

36 ounce will be the water required per 12 ounce of concentrate to give 36 + 12 = 48 ounce of juice.

so we get 1200/48
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Re: Mixture problem [#permalink] New post 14 Nov 2009, 18:39
1 O requires 3 W to make J.
We have 1200 J, that means 300 O and 900 W

The can is 12 ounce, so 300/12 = 25

Answer is A
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Re: Mixture problem [#permalink] New post 14 Nov 2009, 21:31
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This post received
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KocharRohit wrote:
According to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice . How many 12 - ounce cans of the concentrate are required to prepare 200 6-ounce
servings of orange juice?
a) 25 b)34 c)50 d)67 e)100

Regards,
Rohit


Orange juice concentrate: water::1:3

total quantity of orange juice = 200*6 = 1200 oz
so Orange juice concentrate: water :: 300 oz:900 oz

no. of 12 oz can = 300 oz/12 oz = 25

Answer A, 25 cans
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Re: Mixture problem [#permalink] New post 15 Nov 2009, 02:35
For problems like this, I like to use the good old conversion tables:

200*6 oz of OJ / 1 oz of Frozen Concentrate / 1 can of Frozen Concentrate
------------------ / 4 oz of OJ ----------------- / 12 oz of Frozen Concentrate

So:
(200*6)/(4*12) = 12

Solving the problem like this is very helpful because it helps make sure that your units and unit conversions are correct. That is where most mistakes are likely to be made.
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Word Problem [#permalink] New post 06 May 2010, 10:51
According to the directions on a can of frozen orange juice concentrate, 1 can concentrate is to be mixed with 3 cans of water to make orange juice. How many 12-ounce cans of the concentrate are required to prepare 200 6-ounce servings of orange juice.

Can you solve this? What level question? Is this considered a mixture problem?
Word Problem   [#permalink] 06 May 2010, 10:51
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