Question

The highest elevation in Delaware is 106 feet higher than the highest elevation in Florida. Louisiana's highest elevation is 190 feet higher than Florida's highest elevation. If you climbed from sea level to the highest points in Delaware, Florida, and Louisiana, you would only climb 1331 feet. How high is the highest elevation in each of the three states?

Answer 1

Florida = 345 feets

Delaware = 451 feets

Louisiana = 535 feets

Explanation:

Given that:

Let :

Highest elevation in Florida, = x

Highest elevation in Delaware = x + 106

Highest elevation in Louisiana = x + 190

Sum of highest elevation in the 3 states = 1331 feets

Hence,

x + x + 106 + x + 190 = 1331

3x + 296 = 1331

3x = 1331 - 296

3x = 1035 feets

x = 1035 / 3

x = 345 feets

Hence,

Highest elevation in Florida, = x = 345

Highest elevation in Delaware = 345 + 106 = 451

Highest elevation in Louisiana = 345 + 190 = 535