document.write( "Question 770255: Raju has three boxes, whose total weight is \"60%261%2F2\" kg. If box B is \"3%261%2F2\" kg more than box A while box C weighs \"5%261%2F3\" kg more than Box B, find the weight of box A. \n" ); document.write( "
Algebra.Com's Answer #469741 by Jc0110(165)\"\" \"About 
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Let the weight of box A to be a, of box B to be b and of box C to be c.
\n" ); document.write( "Box B is \"3%261%2F2\" kg more than box A means \"b=a%2B3%261%2F2\".
\n" ); document.write( "Box C weighs \"5%261%2F3\" kg more than Box B means \"c=b%2B5%261%2F3\".
\n" ); document.write( "The total weight of three boxes is \"60%261%2F2\" kg means \"a%2Bb%2Bc=60%261%2F2\".
\n" ); document.write( "\"a%2Bb%2Bc=60%261%2F2\" --> Equation 1
\n" ); document.write( "\"b=a%2B3%261%2F2\"
\n" ); document.write( "\"a=b-3%261%2F2\" --> Equation 2 ... Substitute \"a=b-3%261%2F2\" into Equation 1
\n" ); document.write( "\"c=b%2B5%261%2F3\" --> Equation 3 ... Substitute \"c=b%2B5%261%2F3\" into Equation 1
\n" ); document.write( "\"a%2Bb%2Bc=60%261%2F2\"
\n" ); document.write( "\"%28b-3%261%2F2%29%2Bb%2B%28b%2B5%261%2F3%29=60%261%2F2\"
\n" ); document.write( "\"b-3%261%2F2%2Bb%2Bb%2B5%261%2F3=60%261%2F2\"
\n" ); document.write( "\"b%2Bb%2Bb-3%261%2F2%2B5%261%2F3=60%261%2F2\"
\n" ); document.write( "\"3b-3%261%2F2%2B5%261%2F3=60%261%2F2\"
\n" ); document.write( "\"3b%2B1%265%2F6=60%261%2F2\"
\n" ); document.write( "\"3b=60%261%2F2-1%265%2F6\"
\n" ); document.write( "\"3b=58%262%2F3\"
\n" ); document.write( "\"3b=176%2F3\"
\n" ); document.write( "\"cross%283%29b%2Fcross%283%29=%28176%2F3%29%2F3\"
\n" ); document.write( "\"b=%28176%2F3%29%2A%281%2F3%29\"
\n" ); document.write( "\"b=176%2F9\"
\n" ); document.write( "\"b=19%265%2F9\" ... Substitute \"b=19%265%2F9\" into Equation 2
\n" ); document.write( "\"a=b-3%261%2F2\"
\n" ); document.write( "\"a=19%265%2F9-3%261%2F2\"
\n" ); document.write( "\"a=16%261%2F18\"
\n" ); document.write( "Therefore, the weight of box A is \"16%261%2F18\" kg.
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