NEW HERE? LEARN MORE
closeclose
Last visit was: 04 May 2024, 16:19 It is currently 04 May 2024, 16:19
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

Krunchy Kustard sells only two kinds of doughnuts: glazed and cream-fi

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 93029
Own Kudos [?]: 621212 [0]
Given Kudos: 81745
Send PM
CAT Tests Forum Quiz Mode
Krunchy Kustard sells only two kinds of doughnuts: glazed and cream-fi [#permalink] New post   18 Jun 2018, 06:35
Expert Reply
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

82% (01:26) correct 18% (01:38) wrong based on 31 sessions
Hide Show timer Statistics
Krunchy Kustard sells only two kinds of doughnuts: glazed and cream-filled. A glazed doughnut has 200 calories, and a cream-filled doughnut has 360 calories. If Felipe ate 5 doughnuts totaling 1,640 calories, how many were glazed?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
ShowHide Answer
Official Answer
A
User avatar
L
EgmatQuantExpert
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3723
Own Kudos [?]: 16921 [0]
Given Kudos: 165
Send PM
Re: Krunchy Kustard sells only two kinds of doughnuts: glazed and cream-fi [#permalink] New post   18 Jun 2018, 07:04
Expert Reply

Solution



Given:
    • Two types of donuts: glazed and cream-filled
    • Glazed doughnut has 200 calories
    • Cream-filled doughnut has 360 calories
    • Felipe ate 5 doughnuts, totalling 1640 calories

To find:
    • Number of glazed doughnuts that Felipe ate

Approach and Working:
If we assume Felipe ate all glazed doughnuts, then
    • The total calorie consumption should have been = 200 * 5 = 1000 calories

But his total calorie consumption is 1640 calories
The gap of (1640 – 1000) = 640 calories is present because some cream-filled doughnuts are assumed to be glazed doughnuts
    • For every such case, the difference is (360 – 200) = 160 calories
    • Therefore, to make a difference of 640 calories, we need \(\frac{640}{160}\) = 4 cream-filled doughnuts
    • So, number of glazed doughnuts = 5 – 4 = 1

Hence, the correct answer is option A.

Answer: A
avatar
B
Azedenkae
Manager
Manager
Joined: 10 Jun 2018
Posts: 50
Own Kudos [?]: 65 [0]
Given Kudos: 1
Location: Australia
Concentration: Technology, General Management
Schools: Other Schools
GPA: 2.88
WE:Science (Pharmaceuticals and Biotech)
Send PM
Reviews Badge
Re: Krunchy Kustard sells only two kinds of doughnuts: glazed and cream-fi [#permalink] New post   18 Jun 2018, 07:06
Let g be the number of glazed donuts.
Let c be the number of cream-filled donuts.

Total calories would be 200g + 360c = 1,640.

Rather than trying each combination, see how we have the '4' in the tens digit. That means that c must be a number that when multiplied with 360, must have a '4' in the tens digit. This is because, well, no multiple of 200 can have a '4' in the tens digit. Since the tens digit of 360 is a '6', we know from simple multiplication that the smallest possible number to multiply with a 60 to get a 40 would be 4 (60*4=240). If we calculate 360*4, we get 1,420. Just enough for there to be one glazed donut to round it off.

So the answer is A. He ate one glazed donut.
User avatar
B
rahul0103
Intern
Intern
Joined: 04 Jan 2018
Posts: 3
Own Kudos [?]: 7 [1]
Given Kudos: 12
Location: India
Concentration: General Management, Operations
GPA: 3.72
WE:Operations (Manufacturing)
Send PM
Re: Krunchy Kustard sells only two kinds of doughnuts: glazed and cream-fi [#permalink] New post   18 Jun 2018, 07:59
1
Kudos
Let the number of glazed doughnuts be x
Therefore, the number of cream-filled doughnuts will be 5-x

200*x + 360*(5-x) = 1640
Therefore, x=1
avatar
B
Azedenkae
Manager
Manager
Joined: 10 Jun 2018
Posts: 50
Own Kudos [?]: 65 [1]
Given Kudos: 1
Location: Australia
Concentration: Technology, General Management
Schools: Other Schools
GPA: 2.88
WE:Science (Pharmaceuticals and Biotech)
Send PM
Reviews Badge
Re: Krunchy Kustard sells only two kinds of doughnuts: glazed and cream-fi [#permalink] New post   18 Jun 2018, 08:29
1
Kudos
rahul0103 wrote:
Let the number of glazed doughnuts be x
Therefore, the number of cream-filled doughnuts will be 5-x

200*x + 360*(5-x) = 1640
Therefore, x=1


Oooh how did I not think of this! XD Your way is great.
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18807
Own Kudos [?]: 22134 [0]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: Krunchy Kustard sells only two kinds of doughnuts: glazed and cream-fi [#permalink] New post   20 Jun 2018, 16:54
Expert Reply
Bunuel wrote:
Krunchy Kustard sells only two kinds of doughnuts: glazed and cream-filled. A glazed doughnut has 200 calories, and a cream-filled doughnut has 360 calories. If Felipe ate 5 doughnuts totaling 1,640 calories, how many were glazed?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5


We can let g = the number of glazed filled donuts and c = the number of calories in cream filled donuts and create the equations:

g + c = 5

c = 5 - g

and

200g + 360c = 1640

20g + 36c = 164

5g + 9c = 41

Substituting (5 - g) for c, we have:

5g + 9(5 - g) = 41

5g + 45 - 9g = 41

4 = 4g

1 = g

Answer: A
GMAT Club Bot
gmatclubot
Re: Krunchy Kustard sells only two kinds of doughnuts: glazed and cream-fi [#permalink]
20 Jun 2018, 16:54
Moderators:
Bunuel
Math Expert
93029 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions