If 2x = 3y = 10, then 12xy = ?
(A) 1,200
(B) 200
(C) 120
(D) 40
(E) 20
The OA is the option B.
I'm a little confused. How can I solve this PS question? Any help??
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If 2x = 3y = 10, then 12xy = ?
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GMATGuruNY
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Since 2x=10 and 3y=10, we get:VJesus12 wrote:If 2x = 3y = 10, then 12xy = ?
(A) 1,200
(B) 200
(C) 120
(D) 40
(E) 20
(2x)(3y) = 10*10
6xy = 100
12xy = 200.
The correct answer is B.
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I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
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As a tutor, I don't simply teach you how I would approach problems.
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Brent@GMATPrepNow
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Mitch has already demonstrated the fastest/best approach, but even if you didn't see that approach, we can always solve the question by first solving the equations for x and y.VJesus12 wrote:If 2x = 3y = 10, then 12xy = ?
(A) 1,200
(B) 200
(C) 120
(D) 40
(E) 20
Here's what I mean.....
GIVEN: 2x = 10
Solve to get: x = 5
GIVEN: 3y = 10
Solve to get: y = 10/3
So, 12xy = (12)(5)(10/3)
= (12/1)(5/1)(10/3)
= 600/3
= 200
Answer: B
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Brent
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Scott@TargetTestPrep
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Since 2x = 10, x = 5. Since 3y = 10, y = 10/3. ThusVJesus12 wrote:If 2x = 3y = 10, then 12xy = ?
(A) 1,200
(B) 200
(C) 120
(D) 40
(E) 20
12xy = 12(5)(10/3) = 4(5)(10) = 200
Answer: B
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