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If 2x = 3y = 10, then 12xy = ?

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by VJesus12 » Tue Jun 05, 2018 1:29 am

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Answers

A

B

C

D

E

Stats

Difficulty—

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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by GMATGuruNY » Tue Jun 05, 2018 2:53 am
VJesus12 wrote:If 2x = 3y = 10, then 12xy = ?

(A) 1,200
(B) 200
(C) 120
(D) 40
(E) 20
Since 2x=10 and 3y=10, we get:
(2x)(3y) = 10*10
6xy = 100
12xy = 200.

The correct answer is B.
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by Brent@GMATPrepNow » Tue Jun 05, 2018 7:02 am
VJesus12 wrote:If 2x = 3y = 10, then 12xy = ?

(A) 1,200
(B) 200
(C) 120
(D) 40
(E) 20
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.

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

Cheers,
Brent
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by Scott@TargetTestPrep » Wed Jun 06, 2018 3:59 pm
VJesus12 wrote:If 2x = 3y = 10, then 12xy = ?

(A) 1,200
(B) 200
(C) 120
(D) 40
(E) 20
Since 2x = 10, x = 5. Since 3y = 10, y = 10/3. Thus

12xy = 12(5)(10/3) = 4(5)(10) = 200

Answer: B

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