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Difficulty:
35%
(medium)
Question Stats:
77% (02:17) correct
23%
(02:50)
wrong
based on 286
sessions
History
Date
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On the planet Flarp, 3 floops equal 5 fleeps, 4 fleeps equal 7 flaaps, and 2 flaaps equal 3 fliips. How many floops are equal to 35 fliips?
A. 6
B. 8
C. 10
D. 12
E. 14
Solution (from the MGMT SG book):
A. 6
B. 8
C. 10
D. 12
E. 14
Solution (from the MGMT SG book):
35 fliips x 2 flaaps/3 fliips x 4 fleeps/7 flaaps x 3 floops/5 fleeps = 8 floops
I understand their solution but am puzzled as to why my 1st method brings up the completely wrong answer
My approach was such:
Given:
3 Floops = 5 Fleeps Eq. A
4 Fleeps = 7 Flaaps Eq. B
2 Flaaps = 3 Fliips Eq. C
Find:
X Floops = 35 Fliips
Approach:
Eq. C x 7:
14 Flaaps = 35 Fliips
Eq. B x 2:
14 Flaaps = 8 Fleeps
Eq. A x 8/5:
8/5*3 Floops = 8 Fleeps
Combine your new equations
35 Fliips = 14 Flaaps = 8 Fleeps = 8/5*3 Floops
Thus
35 Fliips = 24/5 Floops?
I understand their solution but am puzzled as to why my 1st method brings up the completely wrong answer
My approach was such:
Given:
3 Floops = 5 Fleeps Eq. A
4 Fleeps = 7 Flaaps Eq. B
2 Flaaps = 3 Fliips Eq. C
Find:
X Floops = 35 Fliips
Approach:
Eq. C x 7:
14 Flaaps = 35 Fliips
Eq. B x 2:
14 Flaaps = 8 Fleeps
Eq. A x 8/5:
8/5*3 Floops = 8 Fleeps
Combine your new equations
35 Fliips = 14 Flaaps = 8 Fleeps = 8/5*3 Floops
Thus
35 Fliips = 24/5 Floops?
17 Jun 2015, 08:57
Kudos
Bookmarks
On the planet Flarp, 3 floops equal 5 fleeps, 4 fleeps equal 7 flaaps, and 2 flaaps equal 3 fliips. How many floops are equal to 35 fliips?
a = floops
b = fleeps
c = flaaps
d = fliips
x * a = 35 * d where "x" is the unknown number of floops
3a = 5b = > (3a/5) = b
4b = 7c = > 4 (3a/5) = 7c => (12a/35) = c
2c = 3d => 2 (12a/35) = 3d => (24a/35) = 3d cross multiply
(24/3) a = 35 d
8 * a=35 * d
8
a = floops
b = fleeps
c = flaaps
d = fliips
x * a = 35 * d where "x" is the unknown number of floops
3a = 5b = > (3a/5) = b
4b = 7c = > 4 (3a/5) = 7c => (12a/35) = c
2c = 3d => 2 (12a/35) = 3d => (24a/35) = 3d cross multiply
(24/3) a = 35 d
8 * a=35 * d
8
General Discussion
16 Jun 2015, 07:30
Kudos
Bookmarks
Dr3xus
Hi,
Your Mistake is highlighted above
Eq. C x 7: Gives you
14 Flaaps = 21 Fliips
Suggestion: In the questions of Conversion, It's best to convert the the higher units into smaller units instead of converting the other way round
Lets Solve as per your method
Eq. C x (35/3): Gives you
70/3 Flaaps = 35 Fliips
Now, Eq. B x (10/3):
70/3 Flaaps = 40/3 Fleeps
Now, Eq. A x (8/3):
8 Floops = 40/3 Fleeps
i.e. 8 Floop should be the CORRECT answer
