GreenlightTestPrep wrote:

If x and y are integers, and x/y = 1.64, which of the following CANNOT be a value of x?

A) -656

B) -82

C) 123

D) 205

E) 288

Given: x/y = 1.64

Rewrite as: x/y = 164/100

Simplify: x/y = 41/25

So, it's possible that x = 41 and y = 25

We can also create infinitely many fractions that are EQUIVALENT to 41/25

For example, we can take 41/25 and multiply top and bottom by 2 to get: 82/50

So, it's possible that x = 82 and y = 50

Likewise, we can take 41/25 and multiply top and bottom by 3 to get: 123/75

So, it's possible that x = 123 and y = 75

In general, we can see that

x can be ANY multiple of 41Check the answer choices....

A) -656 IS a multiple of 41. So, x COULD equal -656. ELIMINATE A

B) -82 IS a multiple of 41. So, x COULD equal -82. ELIMINATE B

C) 123 IS a multiple of 41. ELIMINATE C

D) 205 IS a multiple of 41. ELIMINATE D

E) 288 is NOT a multiple of 41.

Answer: E

Cheers,

Brent

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Brent Hanneson – Creator of greenlighttestprep.com

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