Source: Official Guide Revised GRE 1st Ed. Part 8; Section 5; #14

1

If 2x = 3y = 4z = 20, then 12xyz =

If 2x = 3y = 4z = 20, then 12xyz = 16,000, 8,000, 4,000, 800, 10

2 Explanations

1

Samuel Cervantes

Why can't we solve for the individual variables (IE: x = 10, etc)?

Sep 12, 2016 • Comment

Cydney Seigerman, Magoosh Tutor

Hi Samuel :)

We can actually solve for the individual variables in this question to subsequently find the product 12xyz:

x = 10
y = 20/3
z = 5

12xyz = 12*10*20/3*5 = 4*10*20*5 = 4000

As you can see, solving for the individual variables and then finding the product takes several more steps than the approach Chris used. Also, the math is a little more complicated. However, both are valid ways to get to the correct solution :)

Sep 14, 2016 • Reply

2

Gravatar Chris Lele, Magoosh Tutor

Oct 11, 2012 • Comment

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