Can you solve this ?
9 boxes where mixed & you have a balance equipment with two plates
by using it only two times detect the box of less weight
Favorite Answer
Make 3 groups of 3 boxes
Group 1:
Box 1, 2, and 3
Group 2:
Box 4, 5, and 6
Group 3:
Box 7, 8, and 9
=====
1st use of Balance Equipment:
Weigh Group 1 and Group 2
Scenario A:
Group 1 weighs less than Group 2. Group 1 has the lighter box.
Scenario B:
Group 2 weighs less than Group 1. Group 2 has the lighter box.
Scenario C:
Group 1 weighs the same as Group 2. Conclusion, Group 3 contains the lighter box.
=====
2nd use of Balance Equipment:
Taking the Group you know to have the light box in it, there are 3 boxes left. Place one box on one side of the scale, a different box on the other side of the scale, and the third box, leave off to the side.
Scenario A:
One of the boxes on the scales weighs less than the other. Conclusion, you have discovered the lighter box.
Scenario B:
Both boxes on the scales weigh the same. Conclusion, the box you put off to the side is the lighter box.
SOLVED – CASE CLOSED 🙂
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