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Question Stats:
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37% (01:57) wrong based on 1 sessions
To make lemonade, a recipe requires 4 lemons, 30 ounces of sugar, and 2 pints of water. One can squeeze out 0.4 cups of 5% citric acid from an average lemon. Marta does not have lemons, but wants to make lemonade from 4 cups of 12% citric acid. She has sugar and water in abundance. How much water will Marta use? (A) 2 pt. (B) 6 pt. (C) 12 pt. (D) 15 pt. (E) 100 pt. Source: GMAT Club Tests - hardest GMAT questions I cldnt understand the explanation given Can sum 1 explain in more simplified manner?
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amount of citirc acid in 4 lemons = 4*0.4*5/100 (0.4 cups of 5% citric acid from each lemon).
The above amount is required for 2 pints of water.
amount of ctiric acid in 4 cups 12% = 4*12/100
4*0.4*5/100 amount of citric acid requires 2 pints of water.
Hence, 4*12/100 amount of citric acid will require 2*(4*12/100)/(4*0.4*5/100) = 12 pints.
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VP
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u made the things so simple. Thanks  U r a genius scthakur wrote: amount of citirc acid in 4 lemons = 4*0.4*5/100 (0.4 cups of 5% citric acid from each lemon).
The above amount is required for 2 pints of water.
amount of ctiric acid in 4 cups 12% = 4*12/100
4*0.4*5/100 amount of citric acid requires 2 pints of water.
Hence, 4*12/100 amount of citric acid will require 2*(4*12/100)/(4*0.4*5/100) = 12 pints.
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Manager
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Can you please explain it in detail? esp. the last part.
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bibha wrote: Can you please explain it in detail? esp. the last part. To make lemonade, a recipe requires 4 lemons, 30 ounces of sugar, and 2 pints of water. One can squeeze out 0.4 cups of 5% citric acid from an average lemon. Marta does not have lemons, but wants to make lemonade from 4 cups of 12% citric acid. She has sugar and water in abundance. How much water will Marta use? standard recipe: 4 lemons; 30 ounces of water; 2 pts of water we want to know amount of water required to use- with 4 cups of 12% citric acid i.e 48/100 acid
1 lemon contains 0.4 cups of 5% acid 4 lemons contain 4 x 0.4 x 5% = 8/100 acid
48/100 = 6 x (8/100) --> amount of water (proportionally) = 6 x 2 = 12 pts hope my explanation helps.
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In the orginal receipt you see, that you need 0,08 cups of citric acid.
Why? -> 4 lemons contains 1,6 cups 5% citric acid. Therefore 1,6 * 5 /100 = 0,08 cups of 100% citric acid
In the question you have 4 cups of 12% citric acid, meaning you have 0,48 cups of 100% citric acid (= 4 * 12 / 100)
In the first receipt you have 2 pt of water for 0,08 cups citric acid, that means that you need 12 pt of water for 0,48 cups of citric acid (= 2 / 0,08 * 0,48)
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Ratio of Citric Acid = 4*0.4*5/100 : 4*12/100 = 1:6
Ratio of Water = 1:6 i.e 2:12
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I'll try to make it simple. .4 cups from 5% CIRTIC ACID / lemon. So from 4 lemons we get 1.6 cups of citric acid. Let 100 ml of citric acid solution exist. So in 1.6 cups we have 1.6*5 = 8 ml of acid/lemonade. since martha has 4 cups of 12% acid. She has 4*12 = 48 ml of acid. Thus she can make 48/8 = 6 lemonades. For 1 lemonade we need 2 pints, thus for 6 we need 12 pints.
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scthakur wrote: amount of citirc acid in 4 lemons = 4*0.4*5/100 (0.4 cups of 5% citric acid from each lemon).
The above amount is required for 2 pints of water.
amount of ctiric acid in 4 cups 12% = 4*12/100
4*0.4*5/100 amount of citric acid requires 2 pints of water.
Hence, 4*12/100 amount of citric acid will require 2*(4*12/100)/(4*0.4*5/100) = 12 pints. The answer is C. The trick is to identify that you need to know the precise amount of Citric acid.
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ritula wrote: To make lemonade, a recipe requires 4 lemons, 30 ounces of sugar, and 2 pints of water. One can squeeze out 0.4 cups of 5% citric acid from an average lemon. Marta does not have lemons, but wants to make lemonade from 4 cups of 12% citric acid. She has sugar and water in abundance. How much water will Marta use? (A) 2 pt. (B) 6 pt. (C) 12 pt. (D) 15 pt. (E) 100 pt. Source: GMAT Club Tests - hardest GMAT questions I cldnt understand the explanation given Can sum 1 explain in more simplified manner? Standard recipe requires: 4 lemons and 2 pints of water. 4 lemons contain 4*0.4*\frac{5}{100}=\frac{8}{100} cups of citric acid; Now, Marta has 4*\frac{12}{100}=\frac{48}{100} cups of citric acid, so 6 times as many as the standard recipe requires (48/8=6), which means that she'll need 6 times as many water as the standard recipe requires. Hence she'll need 6*2=12 pints of water. Answer: C.
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When GMAT life gives you lemonade, think lemons... The initial data is in terms of lemons, specifically 4 lemons to make a given lemonade recipe. We need how many lemons are used to make given quantity of citric acid. And we are told that 1 lemon contains 0.4 cups of 5% citric acid===> 0.4 cups * 5% per lemon= 2% cups (of citric acid) per lemonAnd we are given 4 cups of 12% citric acid= 48% cups of citric acid, which corresponds to 48%/2% lemons= 24 lemons Since we know that 24 lemons were used to make our citric acid, the constant of proportion is 24 lemons/4 lemons = 6. Therefore we need 2 pints*6= 12 pints of water. Cheers, Der alte Fritz
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To make lemonade, a recipe requires 4 lemons, 30 ounces of sugar, and 2 pints of water. One can squeeze out 0.4 cups of 5% citric acid from an average lemon. Marta does not have lemons, but wants to make lemonade from 4 cups of 12% citric acid. She has sugar and water in abundance. How much water will Marta use? Lets Break this down a bit.
First of all, what the heck does 5% Citric Acid mean ? !
Well, in 100 ml of water, you have 5 ml of Citric Acid.
So far , so good.
Also, when talking in terms of cups, 5% Citric Acid means that you have 5/100 Cups of Citric Acid. The exact size of the cup doesn't matter.
The cup can be a small cup, big cup, medium sized cup, it doesn't matter.
Here we are talking in terms of percentages.
The key to this question is convert the percentage of citric acid into more absolute terms, so that we can start comparing
apples to apples.
From one lemon, you can squeeze out 0.4 Cups of 5 % citric Acid. What does thie mean ?
You can squeeze out 0.4 x 5 /100 cups of citric Acid ==> 2/100 cups of Citric Acid
The recipe requires 4 Lemons and 2 Pints of Water
This implies 4 x 2/100 cups of Citric Acid are to mixed with every 2 Pints of Water
8/100 cups of Citric Acid : 2 Pints of Water ...Lets call this (1)
Martha has 4 Cups of 12 % Citric Acid.
Which means that she has 4 x 12/100 cups of Citric Acid = 48 /100 cups of Citric Acid
The amount of water she has to add must be in the same proportion as (1)
Hence
8/100 : 2 = 4 x 12/100 : x
x = 12 --------------------------------------------- IT TAKES A LOT OF EFFORT TO POST DETAILED RESPONSES
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Last edited by hafizkarim on 17 Aug 2012, 19:45, edited 1 time in total.
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what percentile question is it. it seemed very tough
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Acid in recipe (with 4 lemons): 4*0.4*5/100=.08 or 8/100
Marta has: 4*12/100=48/100
48/100 is 6 times 8/100. So Marta will need 6(2 pints) of water--> 12 pints--> C
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mailpravs wrote: Ratio of Citric Acid = 4*0.4*5/100 : 4*12/100 = 1:6
Ratio of Water = 1:6 i.e 2:12 that was very quick. thanks
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