hard · GMAT Quant

Two server clusters, Cluster Alpha and Cluster Beta, together manage 1,500 active virtual machines. In the morning shift, Cluster Alpha transfers dfrac25 of its virtual machines to Cluster Beta. In the afternoon shift, Cluster Beta transfers dfrac13 of its newly updated total of virtual machines back to Cluster Alpha. After both shifts, Cluster Alpha manages 100 more virtual machines than Cluster Beta.

What was the initial number of virtual machines managed by Cluster Alpha?

  1. 450
  2. 700
  3. 750
  4. 800
  5. 1,050

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