You have 9 marbles. 8 marbles weigh 1 ounce each, & one
marble weighs 1.5 ounces. You are unable to determine which
is the heavier marble by looking at them. You have a
weighing scale that consists of 2 pans, but the scale is
only good for 2 total weighings.
How can you determine which marble is the heaviest one using
the scale & in 2 weighings?
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Answer Posted / guest
Divide 9 marbles into 3 groups of 3 marbles each.
Take any 2 groups and place them on each pan. If they
balance, remove the marbles from the pans, & place any 2 of
the marbles from the remaining unweighed group on the pans,
1 on each pan.
If one is heavier, it is the heavier marble, but if they
balance, the remaining unweighed marble is the heavier one.
If your first weighing does not balance, remove the marbles
from the lighter pan, & place 1 marble on each pan from the
heavier pan. The heavier 1 is the 1.5 ounce marble, but if
they balance, then the marble from the heavy pan from the
first weighing that was not weighed in the second weighing
is the heavy 1.
| Is This Answer Correct ? | 62 Yes | 5 No |
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