medium · GMAT Quant

A logistics company operates two distinct freight pricing tiers based on package weight W, in kilograms. Schedule X charges a flat rate of $120 for shipments up to 50 kilograms, plus $3 for each additional kilogram above 50 kilograms. Schedule Y charges a flat rate of $180 for shipments up to 80 kilograms, plus $2 for each additional kilogram above 80 kilograms. A merchant pays identical shipping charges for a package under both Schedule X and Schedule Y.

What is the total weight W, in kilograms, of the package?

  1. 50
  2. 60
  3. 70
  4. 80
  5. 90

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