Question

Three islands in the Hawaiian island chain are Hawaii

(the Big Island), Maui, and Kauai. Together, their areas
total 5300 mi². The island of Hawaii is 3293 mi² larger
than the island of Maui, and Maui is 177 mi² larger than
Kauai. What is the area of each island?

Answer 1

Explanation:

let area of Kauai=x mi²

area of Maui=x+177 mi²

area of Hawaii=x+177+3293=x+3470

Hence total area=x+x+177+x+3470

3x+3647=5300

3x=5300-3647=1653

x=1653÷3=551 mi²

area of Kauai=551 mi²

area of Maui=551+177=728 mi²

area of Hawaii=551+3470=4021 mi²