document.write( "Question 408718: A wooden box weighs 22kg when it is half full of apples and weighs 15kg when it is one-third full of apples. What is the weight of the box empty? \n" ); document.write( "
Algebra.Com's Answer #287861 by ankor@dixie-net.com(22740)\"\" \"About 
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A wooden box weighs 22kg when it is half full of apples and weighs 15kg when it is one-third full of apples.
\n" ); document.write( " What is the weight of the box empty?
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\n" ); document.write( "let b = weight of empty box
\n" ); document.write( "let a = weight of just the apples when box is full
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\n" ); document.write( "b + \"1%2F2\"a = 22
\n" ); document.write( "b + \"1%2F3\"a = 15
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\n" ); document.write( "multiply the 1st equation by 6, multiply the 2nd equation by 9,
\n" ); document.write( "Subtract the 1st from the 2nd equation
\n" ); document.write( "9b + 3a = 135
\n" ); document.write( "6b + 3a = 132
\n" ); document.write( "-----------------subtraction eliminates a, find b
\n" ); document.write( "3b = 3
\n" ); document.write( "b = 1 kg is the weight of the box\r
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