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

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) (Show Source): You can put this solution on YOUR website!
1.
2.
3.
4.
5.
From 1 and 3,

Substitute this and 2,3,and 4 into 5,

.
.
So then,

RELATED QUESTIONS
I am standing at the trailhead of a mountain trail on level ground. I know from my map... (answered by Earlsdon)

cindy is standing at a point A west of a mountain. From point A, the angle of elevation... (answered by Boreal)

Bob is driving along a straight and level road toward a mountain. At some point on his... (answered by Boreal)

A tunnel must be constructed through a mountain. The angle of elevation from one side of... (answered by mananth)

help please! a trapezoid has an area of 185d^2 sq. meters and a height of 15d meters.... (answered by amoresroy,robertb)

From a point A at the foot of the mountain, the angle of elevation of the top B is... (answered by Theo)

To find the height of a mountain, a group of students measured the elevation angle of the (answered by Boreal)

A motorist noticed that as he got 10 km closer to a mountain, the angle of elevation of... (answered by ankor@dixie-net.com)

A surveying crew is tasked to measure the height of a mountain. From a point on level... (answered by xinxin)