SEED Science

A Bargain Hotel?

Math Puzzles of the Month
A Bargain Hotel?

Diego Reyes submitted this month's puzzle.

 A bargain hotel? 

Three Schlumberger employees, after a day of work in a remote location, arrived at a hotel to pass the night. They approached the concierge and asked for three rooms. The concierge gave them the three rooms at $10 per room. Each Schlumberger mate paid $10 ($30 in total) and went to sleep.

Later the concierge approached the hotel manager and told her about the guests who had just arrived. The manager reminded the concierge that the hotel had a special rate for Schlumberger employees and he should charge only $25 in total for the three rooms.

The next morning when the guests were checking out, the concierge remembered the change in rate and returned five dollar bills to the employees; each one of them took $1, and they left $2 as a tip for the concierge.

Summarizing

  • Each employee paid $10.
  • Each employee received $1 as a refund, so in the end, each one paid only $9.
  • In total they paid $27; that is, 3 times $9.
  • Adding the $2 tip, the total is $29

But the Schlumberger employees paid $30 in total, so where’s the missing dollar?

After you've tried this for yourself, check our solution. 


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