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# If gasoline costs \$1.09 per gallon and alcohol costs \$1.81, what fract

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Math Expert
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If gasoline costs \$1.09 per gallon and alcohol costs \$1.81, what fract  [#permalink]

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14 Feb 2016, 11:10
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67% (01:05) correct 33% (01:36) wrong based on 106 sessions

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If gasoline costs \$1.09 per gallon and alcohol costs \$1.81, what fraction of each would be used to make Gasohol 99?

(1) The mixture is predominantly gasoline.
(2) A gallon of Gasohol 99 costs \$1.22.

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Re: If gasoline costs \$1.09 per gallon and alcohol costs \$1.81, what fract  [#permalink]

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14 Feb 2016, 13:02
1
Let amount of gasoline = g
cost per gallon of gasoline = 1.09\$
and amount of alcohol = a
cost per gallon of alcohol = 1.81 \$

(1) The mixture is predominantly gasoline.
Not sufficient

(2) A gallon of Gasohol 99 costs \$1.22.
1.22 =( 1.09 g + 1.81 a )/(a+g)
We can calculate the % composition .
Sufficient
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Re: If gasoline costs \$1.09 per gallon and alcohol costs \$1.81, what fract  [#permalink]

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16 Feb 2016, 02:23
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

If gasoline costs \$1.09 per gallon and alcohol costs \$1.81, what fraction of each would be used to make Gasohol 99?

(1) The mixture is predominantly gasoline.
(2) A gallon of Gasohol 99 costs \$1.22.

In the original condition, the que is fraction. In a case like this, ratio is the answer, 2) is ratio in this question. Also, regard the amount of gasoline as g and the amount of alcohol as a, they become 1.09g+1.81a=1.11(g+a), in which you can figure out the relation of a and g. In a+g=1, you can figure out the answer in a unique way. Therefore, the answer is B.

 from con 1) and con 2), if one of the conditions is given by numbers and the other is given by ratio (percent,fraction), then the condition with ratio (percent,fraction) value has higher chance of being the answer.
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Re: If gasoline costs \$1.09 per gallon and alcohol costs \$1.81, what fract  [#permalink]

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31 Oct 2018, 08:45
Can someone please explain how we calculate the fraction/ratio of the liquids from statement 2?
Re: If gasoline costs \$1.09 per gallon and alcohol costs \$1.81, what fract   [#permalink] 31 Oct 2018, 08:45
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