Hi All,
While many Test Takers would use an Algebraic approach to this question, it can also be solved by TESTing THE ANSWERS.
The initial ratio of red boxes to blue boxes is 12:25, which means that the initial number of red boxes is a MULTIPLE of 12 and the initial number of blue boxes is an equivalent MULTIPLE of 25. We're told to DOUBLE the number of red boxes and INCREASE the number of blue boxes by 150; the end result of these changes will HALVE the initial ratio (meaning it will become 12:50 or 6/25).
We're asked how many TOTAL boxes are currently in the warehouse.
Since we're DOUBLING the number of red boxes, we'll need to increase the number of blue boxes by a significant percent (to end up with a ratio that is 12:50). Since the increase of 150 blue boxes is 'fixed', the smaller the initial number of blue boxes, the greater the impact that the +150 will have on the ratio. Thus, we should start with the smaller answers.
Answer A: 37
IF....
Total boxes = 37
Red boxes = 12
Blue boxes = 25
After the increases:
Red boxes = 12(2) = 24
Blue boxes = 25+150 = 175
Final ratio = 24:175
This is NOT A MATCH for 12:50
Eliminate Answer A
Answer B: 74
IF....
Total boxes = 74
Red boxes = 24
Blue boxes = 50
After the increases:
Red boxes = 24(2) = 48
Blue boxes = 50+150 = 200
Final ratio = 48:200 = 24:100 = 12:50
This IS MATCH for 12:50, so this MUST be the answer.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
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