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Alexandra. Sweettooth stopped by the candy shop to purchase some candy. While she waited to pay for her order, she noticed that the owner of the candy store could weigh out any unit number of ounces of candy under 8 pounds using only seven weights and a balance scale. What were the seven weights?

 Jan 15, 2021
 #1
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Note that with weights of 1,2,4   we can weigh out any  amount from  1 - 7 inclusive

And

1, 2, 4 , 8   lets us weigh out any  amt  from1-15

And

1,2,4,8,16   lets us weigh out  any amt from 1 - 31

And

1,2,4,8,16,31  lets us weight out any  amt  from 1 - 63

 

Note  that  8 pounds = 8 * 16  ounces  =  128  ounces

 

1,2,4,8,16,32,64   allows us to weigh out any amt  from 1 - 127  ounces

 

 

cool cool cool

 Jan 15, 2021

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