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

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24 00:00

Difficulty:   25% (medium)

Question Stats: 76% (01:33) correct 24% (01:49) wrong based on 954 sessions

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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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2
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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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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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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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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(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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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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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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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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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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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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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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+1 Kudos if you like my post pls! 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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