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19 Jun 2010, 01:14
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
74% (02:34) correct
26%
(02:46)
wrong
based on 988
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Date
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A breakfast that consists of 1 ounce of corn puffs and 8 ounces of fruit X provides 257 calories. When 8 ounces of Fruit Y is substituted for the 8 ounces of fruit X, the total number of calories is reduced to 185. If fruit X provides 1.8 times as many calories as fruit Y, how many calories does 8 ounces of fruit Y alone provide?
A. 11.25
B. 72
C. 90
D. 95
E. 129.6
A. 11.25
B. 72
C. 90
D. 95
E. 129.6
19 Jun 2010, 01:44
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Here's my 15 sec solution
Difference in total calories o both meals = 72 (is same as difference in calories provided by fruit X and Y)
if X provides 1.8 times calories than Y. It means X provides 80% more calories than Y
Now just pick number number and see 72 is 80% of which option (easy pick C)
Difference in total calories o both meals = 72 (is same as difference in calories provided by fruit X and Y)
if X provides 1.8 times calories than Y. It means X provides 80% more calories than Y
Now just pick number number and see 72 is 80% of which option (easy pick C)
General Discussion
19 Jun 2010, 01:24
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Let me try to explain the how I reached the answer.
As per the first statement, 1 CP + 8 FX = 257C (CP Corn puffs, FX Fruit X, C Calories).
As per the second statement, 1CP + 8FY = 185C (FY Fruit Y)
Now, if we subtract 1st equation with second one,
8FX - 8FY = (257 - 185) C
8(FX-FY) = 72C
Now, as per the 3rd statement, FX = 1.8FY
Hence, 8 (1.8 FY - FY) = 72C
8(.8FY) = 72C
8 FY = 72/0.8 C = 90 C.
Thanks.
As per the first statement, 1 CP + 8 FX = 257C (CP Corn puffs, FX Fruit X, C Calories).
As per the second statement, 1CP + 8FY = 185C (FY Fruit Y)
Now, if we subtract 1st equation with second one,
8FX - 8FY = (257 - 185) C
8(FX-FY) = 72C
Now, as per the 3rd statement, FX = 1.8FY
Hence, 8 (1.8 FY - FY) = 72C
8(.8FY) = 72C
8 FY = 72/0.8 C = 90 C.
Thanks.
