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If xy = 30, yz = 20, and zx = 150, what is xyz?

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Carcass
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If xy = 30, yz = 20, and zx = 150, what is xyz? [#permalink] New post   07 Feb 2022, 06:00
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If xy = 30, yz = 20, and zx = 150, what is a possible value of xyz?

(A) 20
(B) 45
(C) 120
(D) 240
(E) 300
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E
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GreenlightTestPrep
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Re: If xy = 30, yz = 20, and zx = 150, what is xyz? [#permalink] New post   07 Feb 2022, 07:01
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Carcass wrote:
If xy = 30, yz = 20, and zx = 150, what is a possible value of xyz?

(A) 20
(B) 45
(C) 120
(D) 240
(E) 300


Given: xy = 30, yz = 20, and zx = 150
Multiply all three equations to get: (xy)(yz)(zx) = (30)(20)(150)
Simplify: x²y²z² = 90,000
Rewrite as follows: (xyz)² = 90,000
So, EITHER xyz = 300 OR xyz = -300

Answer: E
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Re: If xy = 30, yz = 20, and zx = 150, what is xyz? [#permalink]
07 Feb 2022, 07:01
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