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# If xy ≠ 0 and 2x + 3y is equal to 175 percent of 8x, then x/y =

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Math Expert
Joined: 02 Sep 2009
Posts: 55635
If xy ≠ 0 and 2x + 3y is equal to 175 percent of 8x, then x/y =  [#permalink]

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24 Aug 2018, 01:02
00:00

Difficulty:

5% (low)

Question Stats:

96% (01:22) correct 4% (01:36) wrong based on 48 sessions

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If xy ≠ 0 and 2x + 3y is equal to 175 percent of 8x, then x/y =

A. 1/16
B. 3/20
C. 3/16
D. 1/4
E. 3/8

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Joined: 02 Aug 2009
Posts: 7749
Re: If xy ≠ 0 and 2x + 3y is equal to 175 percent of 8x, then x/y =  [#permalink]

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24 Aug 2018, 01:06
Bunuel wrote:
If xy ≠ 0 and 2x + 3y is equal to 175 percent of 8x, then x/y =

A. 1/16
B. 3/20
C. 3/16
D. 1/4
E. 3/8

175% of 8x = $$\frac{175*8x}{100}=14x=2x+3y.......12x=3y.......4x=y$$
So $$\frac{x}{y}=\frac{1}{4}$$

D
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Re: If xy ≠ 0 and 2x + 3y is equal to 175 percent of 8x, then x/y =  [#permalink]

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24 Aug 2018, 01:08
Bunuel wrote:
If xy ≠ 0 and 2x + 3y is equal to 175 percent of 8x, then x/y =

A. 1/16
B. 3/20
C. 3/16
D. 1/4
E. 3/8

2x+3y=1.75*8x
Or, 2x+3y=14x
Or, 12x=3y
Or, x/y=3/12=1/4

Ans. (D)
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If xy ≠ 0 and 2x + 3y is equal to 175 percent of 8x, then x/y =  [#permalink]

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24 Aug 2018, 01:47
Bunuel wrote:
If xy ≠ 0 and 2x + 3y is equal to 175 percent of 8x, then x/y =

A. 1/16
B. 3/20
C. 3/16
D. 1/4
E. 3/8

Given,

2x + 3y = 175% of 8x

2x + 3y = 1.75 * 8x

2x + 3y = 14x

3y = 12x

$$\frac{x}{y}$$ = $$\frac{3}{12}$$
$$\frac{x}{y}$$=$$\frac{1}{4}$$

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Re: If xy ≠ 0 and 2x + 3y is equal to 175 percent of 8x, then x/y =  [#permalink]

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24 Aug 2018, 08:34
Bunuel wrote:
If xy ≠ 0 and 2x + 3y is equal to 175 percent of 8x, then x/y =

A. 1/16
B. 3/20
C. 3/16
D. 1/4
E. 3/8

$$\frac{175}{100} = \frac{35}{20} = \frac{7}{4}$$

Now, $$(2x + 3y) = \frac{7}{4}*8x$$

Or, $$2x + 3y = 14x$$

Or, $$12x =3y$$

Or, $$\frac{x}{y} = \frac{1}{4}$$, Answer must be (D)
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Posts: 2888
Re: If xy ≠ 0 and 2x + 3y is equal to 175 percent of 8x, then x/y =  [#permalink]

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25 Aug 2018, 02:12

Solution

Given:
• 2x + 3y is equal to 175% of 8x, where xy ≠ 0

To find:
• The value of $$\frac{x}{y}$$

Approach and Working:

175% of 8x = (200% - 25%) of 8x = (2 – ¼) of 8x = 16x – 2x = 14x

Therefore, we can rewrite the given condition as,
• 2x + 3y = 14x
Or. 12x = 3y
Or, $$\frac{x}{y} = \frac{3}{12} = \frac{1}{4}$$

Hence, the correct answer is option D.

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Re: If xy ≠ 0 and 2x + 3y is equal to 175 percent of 8x, then x/y =  [#permalink]

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22 Mar 2019, 13:34
Hi All,

We're told that neither X nor Y can be 0 and that (2X + 3Y) is 175% of 8X. We're asked for the value of X/Y. This question can be solved in a number of different ways, including by TESTing THE ANSWERS. Between Answers B and D, Answer D would be an easier Answer to TEST, so let's try that one first...

IF.... X = 1 and Y = 4
(2X + 3Y) = 2 + 12 = 14
8X = 8
When comparing 14 to 8, we have 14/8 = 7/4 = 1.75... This is an exact match for what we were told, so this MUST be the answer.

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Re: If xy ≠ 0 and 2x + 3y is equal to 175 percent of 8x, then x/y =  [#permalink]

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23 Mar 2019, 02:40
Bunuel wrote:
If xy ≠ 0 and 2x + 3y is equal to 175 percent of 8x, then x/y =

A. 1/16
B. 3/20
C. 3/16
D. 1/4
E. 3/8

2x + 3y = 1.75 * 8x
2x + 3y = 14x
3y = 12x
y = 4x

Hence,

x/y = x/4x
x/y = 1/4
Re: If xy ≠ 0 and 2x + 3y is equal to 175 percent of 8x, then x/y =   [#permalink] 23 Mar 2019, 02:40
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