A few years ago a total of 2681 thousand people lived in the

A few years ago, a total of 2681 thousand people lived in the metropolitan areas of Las Vegas, Nevada, and Sacramento. Califomia Sacramento had 283 thousand more residents than Las Vegas. What was the population of each metropolitan area? What was the population of the Sacramento area? and What was the population of the Las Vegas area? thousand

Solution

Las Vegas + Sacramento = 2681

SACRAMENTO = LAS VEGAS + 283

Las Vegas + (Las Vegas + 283) = 2681
2 * Las Vegas + 283 = 2681
2 * Las Vegas = 2398
Las Vegas = 2398 / 2

so, Las Vegas = 1199

Sacramento = Las Vegas + 283
Sacramento = 1199 + 283
Sacramento = 1482

Las Vegas + Sacramento = 1199+1482=2681