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Re: If y is 4 greater than one-fourth of x, [#permalink]
30 Jun 2018, 06:14

1

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Expert's post

GreenlightTestPrep 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

The solutions above demonstrate an algebraic approach. 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.

Answer: C

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Re: If y is 4 greater than one-fourth of x,
[#permalink]
30 Jun 2018, 06:14