SOLUTION: please help me solve this story problem. a silo is divided into three sections. The top section is one-fifth the length of the bottom section. The middles section is one-third t
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Question 619901: please help me solve this story problem. a silo is divided into three sections. The top section is one-fifth the length of the bottom section. The middles section is one-third the length of the bottom section. The total height of the silo is 460 ft. Find the length of the top section. Thank you in advance have been trying to formulate an equation for over an hour but am stuck.
Answer by MathTherapy(10551) (Show Source): You can put this solution on YOUR website!
please help me solve this story problem. a silo is divided into three sections. The top section is one-fifth the length of the bottom section. The middles section is one-third the length of the bottom section. The total height of the silo is 460 ft. Find the length of the top section. Thank you in advance have been trying to formulate an equation for over an hour but am stuck.
Let the length of the bottom section be B
Then length of the top section = of B, or
Length of middle section = of B, or
Since total length of silo = 460 ft, then we have:
15B + 3B + 5B = 6,900 ------ Multiplying by LCD, 15
23B = 6,900
B, or length of bottom section = , or feet
Since length of bottom section = 300 ft, then length of top section = , or , or feet.
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