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Stephanie has 9/4 cups of milk on hand and makes 2 batches of cookies,

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Stephanie has 9/4 cups of milk on hand and makes 2 batches of cookies,  [#permalink]

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New post 23 Jun 2016, 11:17
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A
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Stephanie has 9/4 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?

A. Less then \(\frac{1}{2}\) cup
B. Between\(\frac{1}{2}\)cup and \(\frac{3}{4}\)cup
C. Between \(\frac{3}{4}\)cup and 1 cup
D. Between 1 cup and\(\frac{3}{2}\) cups
E. More than \(\frac{3}{2}\) cups

OG Q 2017 (Book Question: 59)

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Re: Stephanie has 9/4 cups of milk on hand and makes 2 batches of cookies,  [#permalink]

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New post 23 Jun 2016, 15:44
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Answer is C :

She has \(\frac{9}{4}\) and uses \(\frac{4}{3}\) hence remaining is \(\frac{9}{4} - \frac{4}{3} = \frac{11}{12}\) and which is approx 0.9 and lies in the region mentioned in C.








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Stephanie has 9/4 cups of milk on hand and makes 2 batches of cookies,  [#permalink]

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New post 24 Jun 2016, 04:27
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Stephanie has 9/4 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?


Milk used to make 2 batches of cookies = 2/3 +2/3 = 4/3

Balance = 9/4 - 4/3 = 11/12

11/12 = 0.91

Answer C = Between 3/4 cup and 1 cup.

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Re: Stephanie has 9/4 cups of milk on hand and makes 2 batches of cookies,  [#permalink]

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New post 24 Jun 2016, 05:40
AbdurRakib wrote:
Stephanie has 9/4 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?

A. Less then \(\frac{1}{2}\) cup
B. Between\(\frac{1}{2}\)cup and \(\frac{3}{4}\)cup
C. Between \(\frac{3}{4}\)cup and 1 cup
D. Between 1 cup and\(\frac{3}{2}\) cups
E. More than \(\frac{3}{2}\) cups

OG Q 2017 (Book Question: 59)


9/4 - 4/3 = 11/12

11/12 is very close to 1 but is <1. It falls in the range that choice C mentions
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Re: Stephanie has 9/4 cups of milk on hand and makes 2 batches of cookies,  [#permalink]

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New post 24 Jun 2016, 11:31
AbdurRakib wrote:
Stephanie has 9/4 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?

A. Less then \(\frac{1}{2}\) cup
B. Between\(\frac{1}{2}\)cup and \(\frac{3}{4}\)cup
C. Between \(\frac{3}{4}\)cup and 1 cup
D. Between 1 cup and\(\frac{3}{2}\) cups
E. More than \(\frac{3}{2}\) cups

OG Q 2017 (Book Question: 59)


(9/4) - 2*(2/3) = 11/12 which is more than 3/4 and less than 1.
Ans is Choice C)

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Re: Stephanie has 9/4 cups of milk on hand and makes 2 batches of cookies,  [#permalink]

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New post 28 Oct 2016, 12:51
(9/4)-2(2/3)
(9/4)-(4/3)
11/12 ~0.9

C is the correct answer.
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Stephanie has 9/4 cups of milk on hand and makes 2 batches of cookies,  [#permalink]

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New post 27 Mar 2018, 10:47
AbdurRakib wrote:
Stephanie has 9/4 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?

A. Less then \(\frac{1}{2}\) cup
B. Between\(\frac{1}{2}\)cup and \(\frac{3}{4}\)cup
C. Between \(\frac{3}{4}\)cup and 1 cup
D. Between 1 cup and\(\frac{3}{2}\) cups
E. More than \(\frac{3}{2}\) cups

OG Q 2017 (Book Question: 59)



why is my solution wrong ? :-)

\(\frac{9}{4}\) * \(\frac{2}{3}\) = \(\frac{3}{2}\)

\(\frac{9}{4}\) - \(\frac{3}{2}\) = \(\frac{3}{4}\)

\(\frac{3}{4}\) * \(\frac{2}{3}\) = \(\frac{1}{2}\)

\(\frac{3}{2}\) + \(\frac{1}{2}\) =\(\frac{4}{2}\)

\(\frac{9}{4}\) - \(\frac{4}{2}\) = \(\frac{1}{4}\)

final answer i get \(\frac{1}{4}\)
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Stephanie has 9/4 cups of milk on hand and makes 2 batches of cookies,  [#permalink]

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New post 27 Mar 2018, 12:40
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dave13 wrote:
AbdurRakib wrote:
Stephanie has 9/4 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?

A. Less then \(\frac{1}{2}\) cup
B. Between\(\frac{1}{2}\)cup and \(\frac{3}{4}\)cup
C. Between \(\frac{3}{4}\)cup and 1 cup
D. Between 1 cup and\(\frac{3}{2}\) cups
E. More than \(\frac{3}{2}\) cups

OG Q 2017 (Book Question: 59)



why is my solution wrong ? :-)

\(\frac{9}{4}\) * \(\frac{2}{3}\) = \(\frac{3}{2}\)

\(\frac{9}{4}\) - \(\frac{3}{2}\) = \(\frac{3}{4}\)

\(\frac{3}{4}\) * \(\frac{2}{3}\) = \(\frac{1}{2}\)

\(\frac{3}{2}\) + \(\frac{1}{2}\) =\(\frac{4}{2}\)

\(\frac{9}{4}\) - \(\frac{4}{2}\) = \(\frac{1}{4}\)

final answer i get \(\frac{1}{4}\)


Hi dave13

Where you are making a mistake is by dividing the total milk by \(\frac{2}{3}\)rd?

What the question is saying is that \(\frac{2}{3}\)rd cup is used for each batch
of cookies and Stephanie bakes 2 batches of cookies.

So, Stephanie uses \(\frac{2}{3}\)+\(\frac{2}{3}\)rd or \(\frac{4}{3}\)rd cups of milk.

In total, she had \(\frac{9}{4}\) cups of milk and she will be left with \(\frac{9}{4}\) - \(\frac{4}{3}\) = \(\frac{11}{12}\) cups

So, the answer is Option C(between \(\frac{3}{4}\)cup and 1 cup)

Hope that helps you!
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Re: Stephanie has 9/4 cups of milk on hand and makes 2 batches of cookies,  [#permalink]

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New post 09 Apr 2018, 16:32
AbdurRakib wrote:
Stephanie has 9/4 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?

A. Less then \(\frac{1}{2}\) cup
B. Between\(\frac{1}{2}\)cup and \(\frac{3}{4}\)cup
C. Between \(\frac{3}{4}\)cup and 1 cup
D. Between 1 cup and\(\frac{3}{2}\) cups
E. More than \(\frac{3}{2}\) cups


Since each batch of cookies requires 2/3 cup of milk, two batches require 2 x 2/3 = 4/3 cups of milk. So after Stephanie makes two batches of cookies, she has

9/4 - 4/3 = 27/12 - 16/12 = 11/12

cups of milk left.

Answer: C
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Re: Stephanie has 9/4 cups of milk on hand and makes 2 batches of cookies,  [#permalink]

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New post 19 Aug 2018, 21:31
2/3 cup of milk for 1 batch
(2/3 + 2/3)=4/3 cup of milk for 2 batches of cookies
So
Remaining milk = 9/4 - 4/3 = 11/12
As 11/12 is between 3/4 and 1 so answer is (C)

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Re: Stephanie has 9/4 cups of milk on hand and makes 2 batches of cookies,  [#permalink]

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New post 19 Oct 2018, 05:35
AbdurRakib wrote:
Stephanie has 9/4 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?

A. Less then \(\frac{1}{2}\) cup
B. Between\(\frac{1}{2}\)cup and \(\frac{3}{4}\)cup
C. Between \(\frac{3}{4}\)cup and 1 cup
D. Between 1 cup and\(\frac{3}{2}\) cups
E. More than \(\frac{3}{2}\) cups

OG Q 2017 (Book Question: 59)


\(\frac{9}{4} - \frac{2}{3} = \frac{27}{12} - \frac{8}{12}*2 = \frac{27}{12} - \frac{16}{12} = \frac{11}{12}\)

Answer choice C
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Stephanie has 9/4 cups of milk on hand and makes 2 batches of cookies,  [#permalink]

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New post 06 Aug 2019, 18:39
Two methods to solve:

Method 1 - Fractions

9/4 - 2*2/3
=9/4 -4/3
= 11/12
1/12 ~0.08
11*0.08 = 0.96

Or alternatively just recognise that 11/12 is just a bit less than 1

Method 2 - Decimals

2 1/4 =2.25
- 4/3 = 1.33
=0.92
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Stephanie has 9/4 cups of milk on hand and makes 2 batches of cookies,   [#permalink] 06 Aug 2019, 18:39
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