Stephanie has $2 \frac{1}{4}$ cups of milk on hand... | Free GMAT Practice Question | GMAT Panda

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Stephanie has 2 \frac{1}{4} cups of milk on hand and makes 2 batches of cookies, using \frac{2}{3} cup of milk for each batch of cookies. Which of the following describes the amount of milk remaining after she makes the cookies?

Explanation	Calculations	Help
$We first define a variable for the total milk Stephanie has.$	$M_{initial} = 2 \frac{1}{4} cups$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We convert the mixed number to an improper fraction.$	$2 \frac{1}{4} = \frac{2 \times 4 + 1}{4} = \frac{9}{4} cups$
$We translate "using \frac{2}{3} cup of milk for each batch" into the milk used for one batch.$	$m_{per batch} = \frac{2}{3} cups$	Theory & Tactics Method Card TRANS2-B Click to view full details
$We calculate the total milk used for 2 batches by multiplying by 2.$	$m_{used} = 2 \times \frac{2}{3} = \frac{4}{3} cups$
$We subtract the milk used from the initial amount to find the remaining milk.$	$M_{remaining} = \frac{9}{4} - \frac{4}{3} = \frac{27}{12} - \frac{16}{12} = \frac{11}{12} cups$	Theory & Tactics Method Card TRANS1-D Click to view full details
$We note that \frac{11}{12} is greater than \frac{3}{4} and less than 1.$	$\frac{3}{4} < \frac{11}{12} < 1$
$Since the remaining milk is between \frac{3}{4} cup and 1 cup, the correct choice is C.$	$Answer C$

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C

Stephanie has 2 \frac{1}{4} cups of milk on hand and makes 2 batches of cookies, using \frac{2}{3} cup of milk for each batch of cookies. Which of the following describes the amount of milk remaining after she makes the cookies?

Explanation	Calculations	Help
$We first define a variable for the total milk Stephanie has.$	$M_{initial} = 2 \frac{1}{4} cups$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We convert the mixed number to an improper fraction.$	$2 \frac{1}{4} = \frac{2 \times 4 + 1}{4} = \frac{9}{4} cups$
$We translate "using \frac{2}{3} cup of milk for each batch" into the milk used for one batch.$	$m_{per batch} = \frac{2}{3} cups$	Theory & Tactics Method Card TRANS2-B Click to view full details
$We calculate the total milk used for 2 batches by multiplying by 2.$	$m_{used} = 2 \times \frac{2}{3} = \frac{4}{3} cups$
$We subtract the milk used from the initial amount to find the remaining milk.$	$M_{remaining} = \frac{9}{4} - \frac{4}{3} = \frac{27}{12} - \frac{16}{12} = \frac{11}{12} cups$	Theory & Tactics Method Card TRANS1-D Click to view full details
$We note that \frac{11}{12} is greater than \frac{3}{4} and less than 1.$	$\frac{3}{4} < \frac{11}{12} < 1$
$Since the remaining milk is between \frac{3}{4} cup and 1 cup, the correct choice is C.$	$Answer C$

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C