Problem Solving

If we're taking 175% of something, we're multiplying it by 1.75, or by 7/4. So

2x + 3y = (7/4)(8x)
2x + 3y = 14x
3y = 12x
1/4 = x/y

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...

Answer D: 1/4
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.

Final Answer: D

GMAT assassins aren't born, they're made,
Rich

AAPL wrote:Magoosh

If \(xy \neq 0\) and \(2x + 3y\) is equal to 175 percent of \(8x\), then \(\frac{x}{y} =\)

A. \(\frac{1}{16}\)

B. \(\frac{3}{20}\)

C. \(\frac{3}{16}\)

D. \(\frac{1}{4}\)

E. \(\frac{3}{8}\)

OA D

We can create the equation:

2x + 3y = 1.75(8x)

2x + 3y = 14x

3y = 12x

y = 4x

So, x/y = 1/4.

Answer: D