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# Ratios

Author Message
Intern
Joined: 27 Dec 2018
Posts: 1

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Updated on: 30 Dec 2018, 10:46
00:00

Difficulty:

(N/A)

Question Stats:

25% (00:03) correct 75% (01:03) wrong based on 4 sessions

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If 5X=6Y and XY does not equal 0, what is the ratio of 1/5X to 1/6Y?

a). 26/6

b). 36/25

c). 6/5

d). 5/6

e). 25/36

Originally posted by popawilly94 on 29 Dec 2018, 14:20.
Last edited by popawilly94 on 30 Dec 2018, 10:46, edited 2 times in total.
Director
Status: Manager
Joined: 27 Oct 2018
Posts: 676
Location: Egypt
GPA: 3.67
WE: Pharmaceuticals (Health Care)

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29 Dec 2018, 14:30
1
popawilly94 wrote:
If 5X=6Y and XY does not equal 0, what is the ratio of 1/5X to 1/6Y?

It is simply 1:1

$$\frac{1}{5X} to \frac{1}{6Y} = \frac{1}{5X} divided \frac{1}{6Y} = \frac{1}{5X} * 6Y = \frac{6Y}{5X}$$

since 5X and 6Y are equal, so the ratio is 1:1

note: please put some choices to complete the question
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Thanks for Kudos
Director
Joined: 28 Jul 2016
Posts: 599
Location: India
Concentration: Finance, Human Resources
GPA: 3.97
WE: Project Management (Investment Banking)

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30 Dec 2018, 10:57
1
given
5X=6Y and XY does not equal 0,
lLets get the fraction in the form X/Y
X/Y = 6/5---(1)
now
1/5X/1/6Y
= 6X/5Y ---- (2)
Substitute the value from equation 1 to equation 2

6*6/5*5
36/25
thus the ratio of 1/5X to 1/6Y =36/25
Director
Status: Manager
Joined: 27 Oct 2018
Posts: 676
Location: Egypt
GPA: 3.67
WE: Pharmaceuticals (Health Care)

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30 Dec 2018, 11:07
globaldesi wrote:
given
5X=6Y and XY does not equal 0,
lLets get the fraction in the form X/Y
X/Y = 6/5---(1)
now
1/5X/1/6Y
= 6X/5Y ---- (2)
Substitute the value from equation 1 to equation 2

6*6/5*5
36/25
thus the ratio of 1/5X to 1/6Y =36/25

I think 1/5X/1/6Y = 6Y/5X
Am i wrong?
_________________
Thanks for Kudos
Director
Joined: 28 Jul 2016
Posts: 599
Location: India
Concentration: Finance, Human Resources
GPA: 3.97
WE: Project Management (Investment Banking)

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30 Dec 2018, 20:07
Mahmoudfawzy83 wrote:
globaldesi wrote:
given
5X=6Y and XY does not equal 0,
lLets get the fraction in the form X/Y
X/Y = 6/5---(1)
now
1/5X/1/6Y
= 6X/5Y ---- (2)
Substitute the value from equation 1 to equation 2

6*6/5*5
36/25
thus the ratio of 1/5X to 1/6Y =36/25

I think 1/5X/1/6Y = 6Y/5X
Am i wrong?

What you wrote is correct.. 1/(5X) / 1/(6Y)will be read as 6Y/5X. However without explicit brackets. The correct way to read it is (1/5)X/(1/6)Y.

Bunuel sometime back posted a similar question and explained it

Posted from my mobile device
Math Expert
Joined: 02 Sep 2009
Posts: 58402

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31 Dec 2018, 01:13
popawilly94 wrote:
If 5X=6Y and XY does not equal 0, what is the ratio of 1/5X to 1/6Y?

a). 26/6

b). 36/25

c). 6/5

d). 5/6

e). 25/36

Discussed here: https://gmatclub.com/forum/if-5x-6y-and ... 08207.html
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Re: Ratios   [#permalink] 31 Dec 2018, 01:13
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