document.write( "Question 459215: divide 4500 into two parts such that 5% of first part is equal to 10% of second \n" ); document.write( "

Algebra.Com's Answer #314945 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
I'll call the parts $\"a\"$ and $\"b\"$
\n" ); document.write( "(1) $\"+a+%2B+b+=+4500+\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"+.05a+=+.1b+\"$
\n" ); document.write( " $\"+5a+=+10b+\"$
\n" ); document.write( "(2) $\"+a+=+2b+\"$
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) $\"+2b+%2B+b+=+4500+\"$
\n" ); document.write( "(1) $\"+3b+=+4500+\"$
\n" ); document.write( "(1) $\"+b+=+1500+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+%2B+b+=+4500+\"$
\n" ); document.write( "(1) $\"+a+%2B+1500+=+4500+\"$
\n" ); document.write( "(1) $\"+a+=+3000+\"$
\n" ); document.write( "check answers:
\n" ); document.write( " $\"+.05a+=+.1b+\"$
\n" ); document.write( " $\"+.05%2A3000+=+.1%2A1500+\"$
\n" ); document.write( " $\"+150+=+150+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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