SOLUTION: Suppose you have two 20 oz cups full of gems. You also have an empty 8 oz cup and an empty 14 oz cup. Using only these four cups, you need to measure exactly 6 oz of gems in each

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Suppose you have two 20 oz cups full of gems. You also have an empty 8 oz cup and an empty 14 oz cup. Using only these four cups, you need to measure exactly 6 oz of gems in each      Log On

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Question 96364: Suppose you have two 20 oz cups full of gems. You also have an empty 8 oz cup and an empty 14 oz cup. Using only these four cups, you need to measure exactly 6 oz of gems in each of the smaller cups. Without spilling a gem, how can this be done?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
using one 20 oz cup, fill the 14 oz cup and pour the remaining gems (6 oz) into the 8 oz cup

using the other 20 oz cup, fill the 8 oz cup (using 2 oz) ... this leaves 18 oz in the second 20 oz cup

empty the 8 oz cup into the first 20 oz cup

fill the 8 oz cup from the 14 oz cup, leaving 6 oz in the 14 oz cup

fill the second 20 oz cup from the 8 oz cup, using 2 oz and leaving 6 oz in the 8 oz cup