Stephanie has 2 1/4 cups of milk on hand and makes 2 batches of cookies, using...

Question

Stephanie has 2 1/4 cups of milk on hand and makes 2 batches of cookies, using 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?

GMAT Panda · Accepted Answer

C We first define a variable for the total milk Stephanie has. M_initial = 21/4 cups We convert the mixed number to an improper fraction. 21/4 = 2 4 + 1/4 = 9/4 cups We translate "using 2/3 cup of milk for each batch" into the milk used for one batch. m_per batch = 2/3 cups We calculate the total milk used for 2 batches by multiplying by 2. m_used = 2 2/3 = 4/3 cups We subtract the milk used from the initial amount to find the remaining milk. M_remaining = 9/4 - 4/3 = 27/12 - 16/12 = 11/12 cups We note that 11/12 is greater than 3/4 and less than 1. 3/4 < 11/12 < 1 Since the remaining milk is between 3/4 cup and 1 cup, the correct choice is C. Answer C

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

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