The elevation of denver colorado is 13 times greater than that of waikapu. hawaii. the sum of their elevations is 5600 ft. find the elevation of each city

Let  be the elevation of Denver and  the elevation of Waikapu. Since the elevation of Denver is 13 times greater than the elevation of Waikapu, . We also know that the sum of their elevations is 5600 ft, so . We have now tow equations we can solve to find both altitudes:

We can replace the value of  from equation (1) in equation (2) to get:




Now that we know the elevation of Waikapu, lets replace that value in equation (1) to get the elevation of Denver:



We can conclude that the elevation of Denver Colorado is 5200 ft, and the elevation of Waikapu Hawaii is 400 ft.