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?

mzhu23 Jan 15, 2021

#1**+1 **

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

CPhill Jan 15, 2021