document.write( "Question 1159542: There was an equal number of boys and girls in a school auditorium. After 24 boys left the auditorium, there were 3 times as many girls as boys. How many children were there in the beginning?
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Algebra.Com's Answer #782583 by math_helper(2461) $\"\"$ $\"About$

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document.write( "72\r
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document.write( "Workout:\r
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document.write( "B = G           (1)
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document.write( "3(B-24) = G     (2)\r
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document.write( "Eq (1) allows us to substitute B for G on RHS of (2):
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document.write( "3(B-24) = B
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document.write( "2B = 72
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document.write( "B = 36  ==> G = 36  and  B+G=72\r
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document.write( "Check:  3(B-24) = 3(12) = 36 = G  (ok)\r
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