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Re: If y is 4 greater than one-fourth of x, and x ≠ 0
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27 Jun 2018, 07:48

GMATPrepNow wrote:

If y is 4 greater than one-fourth of x, and x ≠ 0, what is the ratio of y to x in terms of x?

A) (x² + 16x)/4 B) (4x + 16)/x C) (x + 16)/4x D) (4x + 1)/x E) (x + 16)/x

Take value of X but keep it simple, so X =4.. Y =4+4*1/4=5 So y/X = 5/4

Check the values of choices by substituting X=4.. A,B and E can be eliminated as they will clearly not leave any denominator.. C =(4+16)/(4*4)=20/16=5/4 D=(4*4+1)/4

Re: If y is 4 greater than one-fourth of x, and x ≠ 0
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30 Jun 2018, 07:13

Top Contributor

GMATPrepNow wrote:

If y is 4 greater than one-fourth of x, and x ≠ 0, what is the ratio of y to x in terms of x?

A) (x² + 16x)/4 B) (4x + 16)/x C) (x + 16)/4x D) (4x + 1)/x E) (x + 16)/x

I typically prefer an algebraic approach, but we can also solve the question using the INPUT-OUTPUT approach.

Let's find values for x and y that satisfy the given information (y is 4 greater than one-fourth of x) A nice pair of values is x = 4 and y = 5 When we use these values, the answer to our question ("what is the ratio of y to x in terms of x? ") is 5/4

In other words, when we INPUT x = 4, the OUTPUT is 4/5 So, now take each answer choice, replace x with 4 and see which one yields an OUTPUT of 5/4

A) [4² + 16(4)]/4 = 20. No good. We want an output of 5/4. ELIMINATE. B) [4(4) + 16]/4 = 8. No good. We want an output of 5/4. ELIMINATE. C) (4 + 16)/4(4) = 20/16 = 5/4. Great! KEEP D) [4(4) + 1]/4 = 17/4. No good. We want an output of 5/4. ELIMINATE. E) (4 + 16)/4 = 5. No good. We want an output of 5/4. ELIMINATE.