GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Krunchy Kustard sells only two kinds of doughnuts: glazed an
[#permalink]
14 Jun 2018, 14:10
14 Jun 2018, 14:10
1
Expert Reply
00:00
Question Stats:
76% (01:28) correct
23% (01:22) wrong based on 46 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
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Target Test Prep Representative
Joined: 09 May 2016
Status:Head GRE Instructor
Affiliations: Target Test Prep
Posts: 183
Given Kudos: 114
Location: United States
Re: Krunchy Kustard sells only two kinds of doughnuts: glazed an
[#permalink]
20 Jun 2018, 15:49
20 Jun 2018, 15:49
1
Expert Reply
sandy 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
(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
Re: Krunchy Kustard sells only two kinds of doughnuts: glazed an
[#permalink]
05 Jul 2018, 01:41
05 Jul 2018, 01:41
Expert Reply
Explanation
Assign variables to the two types of doughnuts, and write equations based on the given information:
Number of glazed = G
Number of cream-filled = C
\(G + C = 5\) (the number of doughnuts)
\(1,640 = 200 G + 360C\) (the number of calories)
The question asks for G, so isolate C in first equation and substitute into the second equation:
\(C = 5 - G\)
\(1,640 = 200G + 360(5 - G)\)
\(1,640 = 200G + 1,800 - 360G\)
\(1,640 = 1,800 - 160G\)
\(-160 = -160G\)
\(G = 1\)
Hence option A is correct!
Check the answer. If Felipe at 1 glazed doughnut, he ate 4 cream-filled doughnuts. He ate (1 × 200) + (4 × 360) = 200 + 1,440 = 1,640 calories.
Assign variables to the two types of doughnuts, and write equations based on the given information:
Number of glazed = G
Number of cream-filled = C
\(G + C = 5\) (the number of doughnuts)
\(1,640 = 200 G + 360C\) (the number of calories)
The question asks for G, so isolate C in first equation and substitute into the second equation:
\(C = 5 - G\)
\(1,640 = 200G + 360(5 - G)\)
\(1,640 = 200G + 1,800 - 360G\)
\(1,640 = 1,800 - 160G\)
\(-160 = -160G\)
\(G = 1\)
Hence option A is correct!
Check the answer. If Felipe at 1 glazed doughnut, he ate 4 cream-filled doughnuts. He ate (1 × 200) + (4 × 360) = 200 + 1,440 = 1,640 calories.
