document.write( "Question 584953: Winston borrowed $4000 in two loans. One loan charged 7% interest and the other charged 1.5% interest. After 1 year, Winston paid $225 in interest. Find the amount borrowed in each loan. \n" ); document.write( "

Algebra.Com's Answer #373002 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = amount borrowed @ 7%
\n" ); document.write( "Let $\"+b+\"$ = amount borrowed @ 1.5%
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+.07a+%2B+.015b+=+225+\"$
\n" ); document.write( "(2) $\"+a+%2B+b+=+4000+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "(1) $\"+70a+%2B+15b+=+225000+\"$
\n" ); document.write( "(1) $\"+14a+%2B+3b+=+45000+\"$
\n" ); document.write( "Multiply both sides of (2) by $\"3\"$
\n" ); document.write( "and subtract (2) from (1)
\n" ); document.write( "(1) $\"+14a+%2B+3b+=+45000+\"$
\n" ); document.write( "(2) $\"+-3a+-+3b+=+-12000+\"$
\n" ); document.write( " $\"+11a+=+33000+\"$
\n" ); document.write( " $\"+a+=+3000+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+3000+%2B+b+=+4000+\"$
\n" ); document.write( "(2) $\"+b+=+1000+\"$
\n" ); document.write( "$3,000 was borrowed @ 7%
\n" ); document.write( "$1,000 was borrowed @ 1.5%
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+.07a+%2B+.015b+=+225+\"$
\n" ); document.write( "(1) $\"+.07%2A3000+%2B+.015%2A1000+=+225+\"$
\n" ); document.write( "(1) $\"+210+%2B+15+=+225+\"$
\n" ); document.write( "(1) $\"+225+=+225+\"$
\n" ); document.write( "OK \n" ); document.write( "

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