SOLUTION: Derek is 6/5 as tall as Edwin and 5/7 as tall as George . What is the ratio of Derek's height to their total height
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Question 974988: Derek is 6/5 as tall as Edwin and 5/7 as tall as George . What is the ratio of Derek's height to their total height
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
D = Derek's height
E = Edwin's height
G = George's height
T = total height
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D = (6/5)*E
E = (5/6)*D
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D = (5/7)*G
G = (7/5)*D
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D+G+E = D+(7/5)*D+(5/6)*D
D+G+E = (1+7/5+5/6)*D
D+G+E = (97/30)*D
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D/T = D/(D+G+E)
D/T = D/((97/30)*D)
D/T = 1/((97/30))
D/T = 30/97
The ratio of Derek's height to the total height is 30/97
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