document.write( "Question 665700: Two boys have 252 marbles between them. One arranges them in heaps of 6 each, the other in heaps of 9 each,and there are 34 heaps in all.how many marbles has each boy? \n" ); document.write( "
Algebra.Com's Answer #414026 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "Two boys have 252 marbles between them. One arranges them in heaps of 6 each, the other in heaps of 9 each,and there are 34 heaps in all.how many marbles has each boy?\r
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\n" ); document.write( "\n" ); document.write( "Let the amount of heaps boy 1 has be \"H%5B1%5D\", and amount of heaps boy 2 has, \"H%5B2%5D\"
\n" ); document.write( "Since there are 34 heaps, then \"H%5B1%5D+%2B+H%5B2%5D+=+34\" ------ eq (i)
\n" ); document.write( "Also, \"6H%5B1%5D+%2B+9H%5B2%5D+=+252\" ------ \"3%282H%5B1%5D+%2B+3H%5B2%5D%29+=+3%2884%29\" ----- \"2H%5B1%5D+%2B+3H%5B2%5D+=+84\" ------- eq (ii)
\n" ); document.write( "\"-+2H%5B1%5D+-+2H%5B2%5D+=+-+68\" ----- Multiplying eq (i) by – 2 ------ eq (iii)
\n" ); document.write( "\"H%5B2%5D+=+16\" ------ Adding eqs (iii) & (ii)
\n" ); document.write( "\"H%5B2%5D\", or heaps that boy 2 has = \"highlight%2816%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"H%5B1%5D+%2B+16+=+34\" ------- Substituting 16 for \"H%5B2%5D\" in eq (i)
\n" ); document.write( "\"H%5B1%5D+=+34+-+16\"
\n" ); document.write( "\"H%5B1%5D\", or heaps that boy 1 has = \"highlight%2818%29\"\r
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\n" ); document.write( "\n" ); document.write( "Since boy 1 has 18 heaps, with 6 marbles in each heap, then boy 1 has 18 * 6, or \"highlight_green%28108%29\" marbles\r
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\n" ); document.write( "\n" ); document.write( "Since boy 2 has 16 heaps and 9 marbles in each heap, then boy 2 has 16 * 9, or \"highlight_green%28144%29\" marbles\r
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\n" ); document.write( "\n" ); document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com
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