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According to the directions on a can of orange juice concent

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by imane81 » Thu Feb 18, 2010 7:35 pm
Please help on this one...

According to the directions on a can of orange juice concentrate, 1 can of 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
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Source: — Problem Solving |

by onedayi'll » Thu Feb 18, 2010 8:25 pm
1 oz concentrate + 3 oz of water = 4 oz jucie

300 oz concentrate +900 oz of waer = 1200 oz juice

cans==300/12=25

A =25
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by thephoenix » Thu Feb 18, 2010 10:16 pm
imane81 wrote:Please help on this one...

According to the directions on a can of orange juice concentrate, 1 can of 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 can of concentrate = 12 ounces
3 cans of water = 36 ounces

x = number of cans of concentrate

12x + 3x(12) = 200 * 6
12x + 36x = 1200
48x = 1200
x = 25
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by harsh.champ » Thu Feb 18, 2010 10:49 pm
imane81 wrote:Please help on this one...

According to the directions on a can of orange juice concentrate, 1 can of 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
My doubt is :-Since we are not given the volume of a serving,
how can we assume that 300 oz concentrate +900 oz of waer = 1200 oz juice.

Shouldn't the volume of a serving be specified in terms of cans??
It takes time and effort to explain, so if my comment helped you please press Thanks button :)



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by ajith » Thu Feb 18, 2010 11:01 pm
harsh.champ wrote:
imane81 wrote:Please help on this one...

According to the directions on a can of orange juice concentrate, 1 can of 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
My doubt is :-Since we are not given the volume of a serving,
how can we assume that 300 oz concentrate +900 oz of waer = 1200 oz juice.

Shouldn't the volume of a serving be specified in terms of cans??
Volume of the servings is given
Volume of the cans also is given

and the conversion is the crux of the problem!

Is this a doubt just for the sake of doubts? (just to increase the post count?)

How do you expect the total volume not to be the sum of the components?

Or should I assume that you don't know oz is the short form of ounce which is a unit of volume (just like liter)
Always borrow money from a pessimist, he doesn't expect to be paid back.
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by harsh.champ » Fri Feb 19, 2010 12:12 am
ajith wrote:
harsh.champ wrote:
imane81 wrote:Please help on this one...

According to the directions on a can of orange juice concentrate, 1 can of 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
My doubt is :-Since we are not given the volume of a serving,
how can we assume that 300 oz concentrate +900 oz of waer = 1200 oz juice.

Shouldn't the volume of a serving be specified in terms of cans??
Volume of the servings is given
Volume of the cans also is given

and the conversion is the crux of the problem!

Is this a doubt just for the sake of doubts? (just to increase the post count?)

How do you expect the total volume not to be the sum of the components?

Or should I assume that you don't know oz is the short form of ounce which is a unit of volume (just like liter)
Well ajith,
In India the most common usage of volume is litres.
While studying through my engg. ,I came across barrel,litres,m3 but I had never heard of oz.
I guess if you pick any random Indian Engg. student and ask him the conversion of oz,there is a very slim probability that he would even know what oz means(I am talking about those people over here who have 16 years of formal education)
It takes time and effort to explain, so if my comment helped you please press Thanks button :)



Just because something is hard doesn't mean you shouldn't try,it means you should just try harder.

"Keep Walking" - Johnny Walker :P
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by shashank.ism » Sun Feb 21, 2010 3:13 pm
imane81 wrote:Please help on this one...

According to the directions on a can of orange juice concentrate, 1 can of 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
Total serving of orange juice = 200x6 = 1200 ounce
now 1 can of concentrate is to be mixed with 3 cans of water to make orange juice.
so 12 ounce can of concentrate is mixed with 36 ounce cans of water so total 48 ounce of serving juice is prepared
so no. of cans req= 1200/48 = 25 Ans A
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by sanju09 » Fri Feb 26, 2010 5:46 am
harsh.champ wrote:
ajith wrote:
harsh.champ wrote:
imane81 wrote:Please help on this one...

According to the directions on a can of orange juice concentrate, 1 can of 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
My doubt is :-Since we are not given the volume of a serving,
how can we assume that 300 oz concentrate +900 oz of waer = 1200 oz juice.

Shouldn't the volume of a serving be specified in terms of cans??
Volume of the servings is given
Volume of the cans also is given

and the conversion is the crux of the problem!

Is this a doubt just for the sake of doubts? (just to increase the post count?)

How do you expect the total volume not to be the sum of the components?

Or should I assume that you don't know oz is the short form of ounce which is a unit of volume (just like liter)
Well ajith,
In India the most common usage of volume is litres.
While studying through my engg. ,I came across barrel,litres,m3 but I had never heard of oz.
I guess if you pick any random Indian Engg. student and ask him the conversion of oz,there is a very slim probability that he would even know what oz means(I am talking about those people over here who have 16 years of formal education)
Most of the Indian cricket fans still think that OZ for "The Team Australia" only. But I am not talking about most of the Indian students here. Added my thought "just to increase the post count".
The mind is everything. What you think you become. -Lord Buddha



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Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

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by RadiumBall » Sat Jan 08, 2011 4:33 pm
I think one important assumption here is that 1 can = 1 ounce...May be this is really silly question...but I am not trying to increase post count.

Thanks
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by Target2009 » Sat Jan 08, 2011 7:42 pm
IMO - E ( 25)
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by GMATGuruNY » Sun Jan 09, 2011 4:33 am
imane81 wrote:Please help on this one...

According to the directions on a can of orange juice concentrate, 1 can of 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
An understanding of the word ounce is not needed because this is not a conversion problem but a ratio/proportion problem. If the question substituted liter or gram for ounce, the solution and the correct answer choice would remain the same.

Ratio of concentrate to water = 1:3.
Thus, concentrate = 1/4 of the total.
Total juice to be prepared = 200*6 = 1200.
Amount of concentrate needed = 1/4 * 1200 = 300.
Number of cans needed = 300/12 = 25.

The correct answer is A.
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