SOLUTION: On one side of a scale there are 4 blocks, 2 weighing 2 grams each and 2 weighing x grams each. The scale is balanced if 8 blocks weighing x grams each are placed on the other side

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Question 159970: On one side of a scale there are 4 blocks, 2 weighing 2 grams each and 2 weighing x grams each. The scale is balanced if 8 blocks weighing x grams each are placed on the other side of the scale. How much does each of the unknown blocks weigh?
Answer by ankor@dixie-net.com(15746) About Me  (Show Source):
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On one side of a scale there are 4 blocks, 2 weighing 2 grams each and 2 weighing x grams each. The scale is balanced if 8 blocks weighing x grams each are placed on the other side of the scale. How much does each of the unknown blocks weigh?
:
2x + 4 = 8x
:
4 = 8x - 2x
:
4 = 6x
x = 4%2F6
x = 2%2F3 grams
:
:
Check solution in original equation:
2*2%2F3 + 4 = 8*2%2F3
4%2F3 + 12%2F3 = 16%2F3