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Krunchy Kustard sells only two kinds of doughnuts: glazed an
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14 Jun 2018, 14:10
14 Jun 2018, 14:10
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Expert Reply
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Question Stats:
76% (01:29) correct
23% (01:22) wrong based on 47 sessions
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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
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Re: Krunchy Kustard sells only two kinds of doughnuts: glazed an
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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
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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.
