SOLUTION: A school board plans to merge two schools into one school of 1000 students in which 42% of the students will be African Americans. One of the schools has a 10% African American st

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Question 202108: A school board plans to merge two schools into one school of 1000 students in which 42% of the students will be African Americans. One of the schools has a 10% African American student body and the other has a 90% African American student body. What is the student population in each of the two schools?
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
.1x+.9(1000-x)=.42(1000)
.1x+900-.9x=420
.1x-.9x=420-900
-.8x=-480
x=600 the 10% school
the 90% school =400