document.write( "Question 659732: Signe received a $5200 income tax refund from the federal government. She invested some of the money in a bond paying 3.2% interest and the rest in a bond paying 3% intetest. She earned a total of $162.45 interest in one year. How much money did she invest in the 3% bond? How do I figure this? Thank you!!! \n" ); document.write( "

Algebra.Com's Answer #410892 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = amount invested in 3.2% bond
\n" ); document.write( "Let $\"+b+\"$ = amount invested in 3% bond
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+5200+\"$
\n" ); document.write( "(2) $\"+.032a+%2B+.03b+=+162.45+\"$
\n" ); document.write( "---------------------------------
\n" ); document.write( "(2) $\"+32a+%2B+30b+=+162450+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"+30+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+32a+%2B+30b+=+162450+\"$
\n" ); document.write( "(1) $\"+-30a+-+30b+=+-156000+\"$
\n" ); document.write( " $\"+2a+=+6450+\"$
\n" ); document.write( " $\"+a+=+3225+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+a+%2B+b+=+5200+\"$
\n" ); document.write( "(1) $\"+3225+%2B+b+=+5200+\"$
\n" ); document.write( "(1) $\"+b+=+1975+\"$
\n" ); document.write( "She invested $1,975 in the 3% bond
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+.032a+%2B+.03b+=+162.45+\"$
\n" ); document.write( "(2) $\"+.032%2A3225+%2B+.03%2A1975+=+162.45+\"$
\n" ); document.write( "(2) $\"+103.2+%2B+59.25+=+162.45+\"$
\n" ); document.write( "(2) $\"+162.45+=+162.45+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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