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# A certain punch is created by mixing two parts soda and thre

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A certain punch is created by mixing two parts soda and thre [#permalink]  22 May 2017, 01:34
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A certain punch is created by mixing two parts soda and three parts ice cream. The soda is 4 parts sugar, 5 parts citric acid, and 11 parts other ingredients. The ice cream is 3 parts sugar, 2 parts citric acid, and 15 parts other ingredients.

 Quantity A Quantity B Parts sugar in the punch Parts citric acid in the punch

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Last edited by Carcass on 27 Dec 2018, 04:23, edited 1 time in total.
Edited by Carcass
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Re: A certain punch is created by mixing two parts soda and thre [#permalink]  10 Oct 2017, 07:49
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Punch is made of two parts of soda and three of ice cream. So, we just have to multiply the parts of sugar (A) and citric acid (B) by two for soda and three for ice cream and sum them.

In other words, sugar is punch is 2*4 + 3*3 = 17, while citric acid in punch is 2*5 + 2*3 = 16. Thus, quantity A is greater!
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Re: A certain punch is created by mixing two parts soda and thre [#permalink]  25 Jan 2018, 05:48
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A punch is consists of 2 parts soda and 3 parts ice cream. Soda consists of 4 parts sugar, 5 parts citric acid and 11 parts other ingredients.
So, 2 parts soda would consist of 8 parts sugar, 10 parts citric acid and 22 parts other ingredients.
Ice cream consists of 3 parts sugar, 2 parts citric acid, and 15 parts other ingredients.
So, 3 parts ice cream would consist of 9 parts sugar, 6 parts citric acid and 45 parts other ingredients.
Q A. Parts sugar in punch is 8+9=17
Q B. Parts citric acid in punch is 10+6=16
Q A. > Q B.
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Re: A certain punch is created by mixing two parts soda and thre [#permalink]  25 Jan 2018, 07:40
Quantity A is greater.
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Re: A certain punch is created by mixing two parts soda and thre [#permalink]  27 Jan 2018, 00:20
Ans: A
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Re: A certain punch is created by mixing two parts soda and thre [#permalink]  12 Mar 2018, 01:28
A is greater
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Re: A certain punch is created by mixing two parts soda and thre [#permalink]  12 Mar 2018, 17:14
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A certain punch is created by mixing two parts soda and three parts ice cream. The soda is 4 parts sugar, 5 parts citric acid, and 11 parts other ingredients. The ice cream is 3 parts sugar, 2 parts citric acid, and 15 parts other ingredients.

Punch = 2 * soda + 3 * ice-cream
Soda = 4 * sugar + 5 * citric-acid + 11 * other
Ice-cream = 3 * sugar + 2 * citric-acid + 15 * other

Punch = Punch = 2 * soda + 3 * ice-cream = 2 * (4 * sugar + 5 * citric-acid + 11 * other) + 5 * (3 * sugar + 2 * citric-acid + 15 * other) = 23 * sugar + 20 * citric-acid + 97 * other

Punch = 23 * sugar + 20 * citric-acid + 97 * other
As the part is a unique unit, there is more sugar than citric-acid.

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Re: A certain punch is created by mixing two parts soda and thre [#permalink]  05 Apr 2018, 00:18
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Solution involves multiplying fractions with frations and adding them. When the denominators are same for 2 fractions, adding is easy, add the numerators and put the denominator same.

Also when comparing 2 fractions with same denominator, the one with greater numerator is bigger fraction. Knowing this concept would save time and we dont need a calculator.
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Re: A certain punch is created by mixing two parts soda and thre [#permalink]  29 Sep 2018, 11:31
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Re: A certain punch is created by mixing two parts soda and thre [#permalink]  23 Oct 2018, 21:24
I guess the answer is A.
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Re: A certain punch is created by mixing two parts soda and thre [#permalink]  27 Nov 2018, 21:36
nice
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Re: A certain punch is created by mixing two parts soda and thre [#permalink]  05 Feb 2019, 02:49
A---Parts sugar: 2(4)+3(3)=17
B---Parts citric: 2(5)+3(2)=16

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Word Problem [#permalink]  26 Mar 2019, 00:14
A certain punch is created by mixing two parts soda and three parts ice cream. The soda is 4 parts sugar, 5 parts citric acid, and 11 parts other ingredients. The ice cream is 3 parts sugar, 2 parts citric acid, and 15 parts Other ingredients.

Quantity A
Parts sugar in the punch

Quantity B
Parts citric acid in the punch

A Quantity A is greater.

B Quantity B is greater.

C The two quantities are equal.

D The relationship cannot be determined from the information given.
Word Problem   [#permalink] 26 Mar 2019, 00:14
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