Question 909140: A hydroelectric generating plant and a coal-fired generating plant together supply a city of 269000 people, with the hydro plant producing 1.75 times the power of the coal plant. How many people could each service alone?
Do not round intermediate results. Round only final answers. Round to the nearest integer.
Answer by JulietG(1812)   (Show Source):
You can put this solution on YOUR website! H + C = 269,000
H = 1.75C (which is doubtful unless the coal plant is very inefficient and the hydro plant is near Niagara or some other huge source, but that's for another day)
Substitute the value of H from the bottom equation into the top.
H + C = 269,000
1.75C + C = 269,000
2.75C = 269,000
Divide each side by 2.75
C = 97818.181818...
rounded to 97,818 people
H serves 1.75 * 97,818, or 171,182 people
Add together: 97818 + 17182 to get 269,000
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