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# According to the direction on a can of frozen orange juice concentrate

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Manager
Joined: 03 Oct 2009
Posts: 85
According to the direction on a can of frozen orange juice concentrate  [#permalink]

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06 Nov 2009, 22:40
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Difficulty:

35% (medium)

Question Stats:

68% (01:55) correct 32% (02:11) wrong based on 170 sessions

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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
Manager
Joined: 02 Jan 2009
Posts: 84
Location: India
Schools: LBS
Re: According to the direction on a can of frozen orange juice concentrate  [#permalink]

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07 Nov 2009, 01:30
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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Intern
Joined: 17 Oct 2009
Posts: 2
Re: According to the direction on a can of frozen orange juice concentrate  [#permalink]

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07 Nov 2009, 08:57
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).
Manager
Joined: 02 Jan 2009
Posts: 84
Location: India
Schools: LBS
Re: According to the direction on a can of frozen orange juice concentrate  [#permalink]

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08 Nov 2009, 01:48
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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Manager
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Posts: 197
Location: Tokyo, Japan
Re: According to the direction on a can of frozen orange juice concentrate  [#permalink]

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14 Nov 2009, 19:39
1
1
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

Manager
Joined: 13 Oct 2009
Posts: 106
Location: USA
Schools: IU KSB
Re: According to the direction on a can of frozen orange juice concentrate  [#permalink]

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14 Nov 2009, 22:31
2
1
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

Manager
Joined: 13 Aug 2009
Posts: 179
Schools: Sloan '14 (S)
Re: According to the direction on a can of frozen orange juice concentrate  [#permalink]

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15 Nov 2009, 03:35
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.
Intern
Joined: 31 Mar 2010
Posts: 7
Re: According to the direction on a can of frozen orange juice concentrate  [#permalink]

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06 May 2010, 11:51
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?
Manager
Status: Preparing
Joined: 05 May 2016
Posts: 58
Location: India
Re: According to the direction on a can of frozen orange juice concentrate  [#permalink]

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19 Mar 2017, 13:38
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

Lets us say we need 100-12 ounce servings.
So fr 100-12 once servings you will need 25 12 ounce cans and 75 cans of water.

Does it seem right?
Senior Manager
Status: Come! Fall in Love with Learning!
Joined: 05 Jan 2017
Posts: 457
Location: India
Re: According to the direction on a can of frozen orange juice concentrate  [#permalink]

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20 Mar 2017, 01:51
1
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

to make orange juice, ratio of concentrate : water = 1:3

therefore the concentrate will be 1/4 of the final solution

200, 6 ounce can be also written as 100, 12 ounce

out of 100 concentrate will be 1/4 * 100 =25.

option A
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Re: According to the direction on a can of frozen orange juice concentrate  [#permalink]

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03 Aug 2018, 15:02
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

We are given that in order to make orange juice, 1 can of concentrate is used and 3 cans of water. Thus, we can set up the following ratio:

Concentrate: water = x : 3x

We need to determine how many cans of concentrate are needed to prepare 200 6-ounce servings of orange juice, or 200 x 6 = 1,200 ounces.

We can create the following equation to determine the number of ounces of concentrate needed:

x + 3x = 1,200

4x = 1,200

x = 300 ounces of concentrate is needed

Since there are 12 ounces per can, 300/12 = 25 cans are needed to make 1,200 ounces of orange juice.

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Re: According to the direction on a can of frozen orange juice concentrate &nbs [#permalink] 03 Aug 2018, 15:02
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