Hi All,

This series of 'overlapping' ratios can be dealt with by TESTing VALUES.

We're given the following ratios to work with:

E:S

5:2

P:S

3:4

H:E

5:3

We're asked for the ratio of P:H

Based on the given ratios, we know that E is a multiple of BOTH 3 and 5, so let's TEST E = 15....

IF....

E = 15

Then.....

S = 6

P = 4.5

H = 25

We now have a "grand ratio" that involves all 4 variables. Since we cannot have "half" a Psychology teacher, we can multiply each of these values by 2....this gives us....

E = 30

S = 12

P = 9

H = 50

The question asks for the ratio of the number of Psychology majors to the number of History majors...

P:H

9:50

Final Answer:

GMAT assassins aren't born, they're made,

Rich

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Rich Cohen

Rich.C@empowergmat.com

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