SOLUTION: A high school has 900 students attending a football game, 40% of whom wear a coat to the game. In the competing second high school, 75% of attending students wear a coat. Of the to

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Question 561189: A high school has 900 students attending a football game, 40% of whom wear a coat to the game. In the competing second high school, 75% of attending students wear a coat. Of the total attending, 52.5% are wearing a coat. How many students attended from the second school (total)?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = number attending 2nd school
+.4%2A900+=+360+ in 1st school wearing coat
+.75x+ in 2nd school wearing coat
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+.525%2A%28+900+%2B+x+%29+ are wearing a coat
+360+%2B+.75x+=+.525%2A%28+900+%2B+x+%29+
+360+%2B+.75x+=+472.5+%2B+.525x+
+.75x+-+.525x+=+472.5+-+360+
+.225x+=+112.5+
+x+=+500+
500 students attend the 2nd school
check answer:
+360+%2B+.75x+=+.525%2A%28+900+%2B+x+%29+
+360+%2B+.75%2A500+=+.525%2A%28+900+%2B+500+%29+
+360+%2B+375+=+.525%2A1400+
+735+=+735+
OK