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

Question

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)

Senthil1981 · Accepted Answer

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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sashiim20 · Answer

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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Divyadisha · Answer

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

Nightfury14 · Answer

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

Good luck
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law258 · Answer

(9/4)-2(2/3)
(9/4)-(4/3)
11/12 ~0.9

C is the correct answer.

dave13 · Answer

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}

pushpitkc · Answer

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!

JeffTargetTestPrep · Answer

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

hasnain3047 · Answer

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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Salsanousi · Answer

\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

dcummins · Answer

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

mm229966 · Answer

9/4 - 2*2/3 = 11/12 = 0.9

MHIKER · Answer

\frac{2}{3} *2= \frac{4}{3}  for two cups

Left:
 \frac{9}{4} - \frac{4}{3} = \frac{11}{12} , which less than 1 but more 0.9

The answer is C

Sneha2021 · Answer

I took a visual approach 
There are 3 cups A=1, B=1, C=1/4 (1+1+1/4 = 9/4)
Now removing 2/3 from cup A and 2/3 from cup B

Remaining milk - A=1/3, B=1/3, C=1/4
Adding - A+B =2/3, C=1/4 
Since 1/4<1/3 
2/3+1/4 <1 (sum will be less than 1 OR sum will be 1 only when 2/3+1/3=1) - Reject D, E

Remaining milk A+B =2/3, C=1/4
Milk left will be more than 1/2 since 2/3 (66%) >1/2(50%) - Reject A
To arrive at 3/4<2/3+1/4
Compare the difference with 2/3-3/4=1/12 
1/12< 1/4 or 1/12<3/12 
So 3/4<2/3+1/4
The answer is C

BLTN · Answer

Dear  pushpitkc 
the mistake that  dave13  outlined is because he took part from the whole and then part from the remainder. The same as we take 1 cup and then portion of cup in lieu of 2 full cups.

From question stem: Stephanie has  9/4 cups of  milk   on hand and makes 2 batches of cookies, using  2/3 cups of  milk   for each batch of cookies

That is 2/3 Cups OF  Milk  is not the same as 2/3 cups OF  9/4

Thus, the solution will be 9/4 cups - 2 * 2/3 cups = 9/4 - 4/3 = 11/12

Hope it helps.

bumpbot · Answer

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

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