Midas has boxes in three sizes: large, medium, and small. He puts 11 large boxes on a table. He leaves some of these boxes empty, and in all the other boxes he puts 8 medium boxes. He leaves some of these medium boxes empty, and in all the other medium boxes he puts 8 (empty) small boxes. Now, 102 of all the boxes on the table are empty.
How many boxes has Midas used in total?

• By keeping 8 boxes in a single box, the total number of empty boxes increases by 8-1 = 7.
  let x the number of times that 8 boxes have been kept in a box
  
  now we know that 11 + 7x = 102
  by solving we have x=13
  
  finally 11 + 13 × 8 = 115
  
  therefore totally 115 boxes have been used
• 12 years agoHelpfull: Yes(10) No(4)