SOLUTION: Mr. Johnson ran for mayor in last week's election. In district 12 he received 85% of the vote, and in district 13 he received 42% of the vote. From the two districts he received 10

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: Mr. Johnson ran for mayor in last week's election. In district 12 he received 85% of the vote, and in district 13 he received 42% of the vote. From the two districts he received 10      Log On

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Question 1008631: Mr. Johnson ran for mayor in last week's election. In district 12 he received 85% of the vote, and in district 13 he received 42% of the vote. From the two districts he received 10,253 votes. How many voted for Mr. Johnson in each district if a total of 16,460 people voted in the two districts?
Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
.85m+.42n=10253
m+n=16460
.42m+.42n=6913.2
.43m=3339.8
m=7767 in district 12
n=8693 in district 13
7767 x.85=6602 votes in district 12
8693 x.42=3651 votes in district 13!!!!!!!!!!!!!!!!