It is currently 14 Nov 2018, 11:21
My Tests

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

A baker made a combination of chocolate chip cookies and pea

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4704
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 90

Kudos [?]: 1600 [0], given: 373

CAT Tests
A baker made a combination of chocolate chip cookies and pea [#permalink] New post 14 Jun 2018, 14:23
Expert's post
00:00

Question Stats:

75% (01:33) correct 25% (00:00) wrong based on 4 sessions
A baker made a combination of chocolate chip cookies and peanut butter cookies for a school bake sale. His recipes only allow him to make chocolate chip cookies in batches of 7, and peanut butter cookies in batches of 6. If he made exactly 95 cookies for the bake sale, what is the minimum possible number of chocolate chip cookies that he made?

(A) 7
(B) 14
(C) 21
(D) 28
(E) 35
[Reveal] Spoiler: OA

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Director
Director
Joined: 20 Apr 2016
Posts: 743
Followers: 6

Kudos [?]: 496 [0], given: 86

CAT Tests
Re: A baker made a combination of chocolate chip cookies and pea [#permalink] New post 03 Jul 2018, 00:32
sandy wrote:
A baker made a combination of chocolate chip cookies and peanut butter cookies for a school bake sale. His recipes only allow him to make chocolate chip cookies in batches of 7, and peanut butter cookies in batches of 6. If he made exactly 95 cookies for the bake sale, what is the minimum possible number of chocolate chip cookies that he made?

(A) 7
(B) 14
(C) 21
(D) 28
(E) 35



Here let x = no. of chocolate cookie

and y = peanut butter cookie

We have from the statement

7x + 6y = 95

Let us consider the value of x=1; but it doesnot satisfy the equation

The above equation satisfy only when x = 5, which is the minimum value

i.e. 7 * 5 + 6 *10 =95

Now the chocolate cookie he make in the batch of 7, so the minimum no. of chocolate cookie he made = 7 * 5 =35
_________________

If you found this post useful, please let me know by pressing the Kudos Button

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4704
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 90

Kudos [?]: 1600 [0], given: 373

CAT Tests
Re: A baker made a combination of chocolate chip cookies and pea [#permalink] New post 05 Jul 2018, 03:07
Expert's post
Explanation

The equation for the situation described is 7x + 6y = 95, where x stands for the number of batches of chocolate chip cookies and y stands for the number of batches of peanut butter cookies.

It looks as though this equation is not solvable, because there are two variables and only one equation. However, since the baker can only make whole batches, x and y must be integers, which really limits the possibilities.

Furthermore, the question asks for the minimum number of chocolate chip cookies the baker could have made. So, try 1 for x and see if you get an integer for y (use your calculator when needed!):

\(7(1) + 6y = 95\)

\(6y = 88\)

\(y = 14.6\)…

Since this did not result in an integer number of batches of peanut butter cookies, this situation doesn’t work. Try 2, 3, 4, etc. for x. (Don’t try values out of order—remember, there might be more than one x value that works, but you need to be sure that you have the smallest one!)

The smallest value that works for x is 5:

\(7(5) + 6y = 95\)

\(6y = 60\)

\(y = 10\)

Remember that you need the minimum number of chocolate chip cookies, not batches of cookies.

Since the minimum number of batches is 5 and there are 7 cookies per batch, the minimum number of chocolate chip cookies is 35.

Hence option E is correct!
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Re: A baker made a combination of chocolate chip cookies and pea   [#permalink] 05 Jul 2018, 03:07
Display posts from previous: Sort by

A baker made a combination of chocolate chip cookies and pea

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.