SOLUTION: North carolina's Native American populaton is 22,000 greater than New York's. New York's Native American population is 187,000 less than Oklahoma's. If the total population of al

Algebra ->  Equations -> SOLUTION: North carolina's Native American populaton is 22,000 greater than New York's. New York's Native American population is 187,000 less than Oklahoma's. If the total population of al      Log On


   

Question 107149: North carolina's Native American populaton is 22,000 greater than New York's. New York's Native American population is 187,000 less than Oklahoma's. If the total population of all three is 437,000, find each state's Native American population.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
C-North Carolina's population
Y-New York's population
O-Oklahoma's population
1.C=Y%2B22000
2.Y=O-187000
3.C%2BY%2BO=437000
Use 2, to get values for C and O in terms of Y,
2.Y=O-187000
O=Y%2B187000
Nopw I can substitute this answer and equation 1 into equation 3 and solve for Y.
3.C%2BY%2BO=437000
%28Y%2B22000%29%2BY%2B%28Y%2B187000%29=437000
3Y%2B209000=437000
3Y=228000
Y=76000
From 1,
1.C=Y%2B22000
C=76000%2B22000
C=98000
From 2,
O=Y%2B187000
O=76000%2B187000
O=263000
North Carolina's Native American population is 98,000.
New York's Native American population is 76,000.
Oklahoma's Native American population is 263,000.