SOLUTION: The height of mountain Upper A is 65 feet more than half the height of mountain Upper C. The height of mountain Upper B is 36 feet more than three times the height of mountain Upp

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Question 947645: The height of mountain Upper A is 65 feet more than half the height of mountain Upper C.
The height of mountain Upper B is 36 feet more than three times the height of mountain Upper D.
The mountain Upper C is 164 feet taller than mountain Upper D.
The mountain Upper E is 137 feet shorter than mountain Upper D.
The sum of the five heights is 2680 feet.

What is the height of each mountain
Answer by Fombitz(32388) About Me  (Show Source):
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1.A=65%2B%281%2F2%29C
2.B=36%2B3D
3.C=164%2BD
4.E=D-137
5.A%2BB%2BC%2BD%2BE=2680
From 1 and 3,
A=65%2B%281%2F2%29%28164%2BD%29
A=65%2B82%2BD%2F2
A=147%2BD%2F2
Substitute this and 2,3,and 4 into 5,
%28147%2BD%2F2%29%2B%2836%2B3D%29%2B%28164%2BD%29%2BD%2B%28D-137%29=2680
%2813%2F2%29D%2B210=2680
%2813%2F2%29D=2470
D=380
.
.
So then,
A=147%2BD%2F2=147%2B190=337
B=36%2B3D=36%2B3%28380%29=36%2B1140=1176
C=164%2BD=164%2B380=544
E=D-137=380-137=243