SOLUTION: In a nation of 221 million people, the urban population is 2.25 times the rural population. Find the rural and urban population. PLEASE PLEASE PLEASE HELP

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: In a nation of 221 million people, the urban population is 2.25 times the rural population. Find the rural and urban population. PLEASE PLEASE PLEASE HELP      Log On


   



Question 269612: In a nation of 221 million people, the urban population is 2.25 times the rural population. Find the rural and urban population.
PLEASE PLEASE PLEASE HELP

Answer by dabanfield(803) About Me  (Show Source):
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In a nation of 221 million people, the urban population is 2.25 times the rural population. Find the rural and urban population.
PLEASE PLEASE PLEASE HELP
Let r be the rural population and u be the urban population. Then we have:
1) u = 2.25*r and
2) u + r = 221
Substitute 2.25*r for u (from equation 1) in equation 2) and solve for r:
2.25*r + r = 221
3.25*r = 221
r = 221/3.25
Calculate r above and then calculate u = 2.25*r