Question

North Carolina has three times the population of Utah and twice the

population of Oregon. Arkansas has 1 million people fewer than Oregon.
If the total population of these four states is 27 million, how many peo-
ple live in each state?
​

Answer 1

North Carolina = 3 * Utah

North Carolina = 2 * Oregon

Arkansas = Oregon - 1,000,000

North Carolina + Utah + Oregon + Arkansas = 27,000,000

North Carolina = 3 * Utah

Utah = 1/3 * North Carolina

Utah = 1/3 * (2 * Oregon)

(2 * Oregon) + (1/3 * (2 * Oregon)) + Oregon + (Oregon - 1,000,000) = 27,000,000

2O + (1/3 * 2O) + O + O - 1,000,000 = 27,000,000

2O + 2/3O + O + O - 1,000,000 = 27,000,000

4 2/3 O - 1,000,000 = 27,000,000

4 2/3 O = 28,000,000

O = 6,008,584

NC = 2O

NC = 2(6,008,584)

NC = 12,017,167

A = O - 1,000,000

A = 6,008,584 - 1,000,000

A = 5,008,584

NC = 3U

12,017,167 = 3U

U = 4,005,722