Latest self Aptitude Question SOLUTION: 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.

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(#M40009673) SELF question Boxes Keep an EYE

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?

asim (12 years ago)

Solved chaitanya Read Solution (1)

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Read Solution (1) :

chaitanya  (12 years ago)

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

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