How many marbles do you need to balance a scale?

You are allowed to use the balance scale exactly 3 times to identify which of the 12 marbles is irregular AND determine whether it is heavier or lighter than normal.”

Are all marbles the same weight?

Don’t forget, all the marbles are the same weight except for the 1 heavier one. That’s an important tidbit.

How do you weigh a marble?

Marble tile weighs 13.34 pounds per square foot for each inch of thickness; multiply the thickness in inches by 13.34 to find the weight of a single square foot of tile. To determine the weight of quarter-inch-thick marble tile, multiply 0.25 inches by 13.34, or 3.34 lbs.

How do you weigh marbles?

Weigh the two groups of 2 against each other. If they balance, the 1 on the side is the heavier marble. If one of the groups of 2 is heavier, then weigh the 2 marbles in the heavier group against each other to get the heavier marble.

What is the total weight of 50 identical marbles?

400 grams
So, the total weight of the marbles in the jar is 50×8 grams=400 grams.

What do you call 9 marbles and a balance?

By Matt Gadient So, you have 9 marbles and a balance. Or weight scale. Or weight balance. Or whatever you want to call it. Essentially, this: My awesome drawing of a weight balance and 9 marbles Because I draw like a 2 year old, some clarification as to what you see above.

How do you know which marble is heavy?

Keep the heavy group of 3 marbles and discard the rest. Since we now have 3 marbles (1 of which is the heavy one), put 1 in each side (1 left, 1 right, 1 unused) Set the scale again. If it tips to a side, we know that marble is the heavy one!

How many times can you use the marble scale?

The remaining marble is slightly heavierthan the others. You don’t know which is which. 3) You are allowed to use/set the scale TWICE in total. In other words, you get to take 2 measurements (or “comparisons”) here. 4) Each “bucket” has enough room for multiple marbles.

How do you get the unused marbles out of a scale?

If it does not tip to a side (if it balances), we know the “unused” group of 3 contains the heavy marble. Keep the heavy group of 3 marbles and discard the rest. Since we now have 3 marbles (1 of which is the heavy one), put 1 in each side (1 left, 1 right, 1 unused) Set the scale again.