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One-sixth of a steel beam is in cement below the bed of the river Two-fifths of the beam is in the the water and seventy eight feet of the beem is above water How long is the steel beam?
Wiki User
∙ 12y ago
okay, simple fraction math:
The two unknown sections of the beam, the 1/6 and 2/5, must be added together to find the fraction of the beam not above the water. LCD is 6x5=30. The result is 17/30. Subtract that result from one (the whole beam). 30/30 - 17/30 is 13/30. We now know that the 78' above the water is 13/30 of the whole beam.
Proportion time: The whole beam has 30 parts. 13 parts of the beam is a length of 78'. A single part is 78/13 = 6'. Multiply 6' by 30 and you get 180', the length of the whole beam.
Alternate Method: just set up the ratio and solve for x.
13/30 = 78/x, 13x = 78*30, x = 78*30/13, x = 6*30, x' = 180'.
Wiki User
∙ 12y ago
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