SOLUTION: In a class,2/3 of the students are wearing black shoes and 1/4 wears brown shoes.If 4 of them wear neither black nor brown shoes,how many students are there in the class?

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Question 646645: In a class,2/3 of the students are wearing black shoes and 1/4 wears brown shoes.If 4 of them wear neither black nor brown shoes,how many students are there in the class?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = the number of students in the class
given:
+s+-+%282%2F3%29%2As+-+%281%2F4%29%2As+=+4+
+s%2A%28+1+-+2%2F3+-+1%2F4+%29+=+4+
+s%2A%28+12%2F12+-+8%2F12+-+3%2F12+%29+=+4+
+%28s%2F12%29%2A%28+12+-+8+-+3+%29+=+4+
Multiply both sides by +12+
+s%2A%28+12+-+11+%29+=+48+
+s+=+48+
There are 48 students in the class
check:
+s+-+%282%2F3%29%2As+-+%281%2F4%29%2As+=+4+
+48+-+%282%2F3%29%2A48+-+%281%2F4%29%2A48+=+4+
+48+-+32+-+12+=+4+
+48+-+44+-+4+
+4+=+4+
OK