document.write( "Question 984841: Sonya deposited two-thirds of her end-of-the-year bonus at 5% simple interest in a certificate of deposit. She deposited one-sixth of the bonus in a savings account bearing simple interest at 2%. If Sonya's total interest income was $231 for the year, how much was her bonus? I really need help
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Algebra.Com's Answer #605675 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+x+\"$ = the amount of her bonus in dollars
\n" ); document.write( " $\"+%282%2F3%29%2Ax+\"$ = amount deposited in 5% CD
\n" ); document.write( " $\"+%281%2F6%29%2Ax+\"$ = amount deposited in 2% savings account
\n" ); document.write( "-------------------------------------------------
\n" ); document.write( "Find the interest income from both deposits
\n" ); document.write( " $\"+.05%2A%282%2F3%29%2Ax+%2B+.02%2A%281%2F6%29%2Ax+=+231+\"$
\n" ); document.write( "Multiply both sides by $\"+6+\"$
\n" ); document.write( " $\"+.2x+%2B+.02x+=+1386+\"$
\n" ); document.write( " $\"+.22x+=+1386+\"$
\n" ); document.write( " $\"+x+=+6300+\"$
\n" ); document.write( "The amount of her bonus was $6,300
\n" ); document.write( "----------------
\n" ); document.write( "check answer:
\n" ); document.write( " $\"+.05%2A%282%2F3%29%2A6300+%2B+.02%2A%281%2F6%29%2A6300+=+231+\"$
\n" ); document.write( " $\"+.1%2A2100+%2B+.01%2A2100+=+231+\"$
\n" ); document.write( " $\"+2100%2A.11+=+231+\"$
\n" ); document.write( " $\"+231+=+231+\"$
\n" ); document.write( "OK \n" ); document.write( "

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