document.write( "Question 1119192: Hi, I need some help with this interest problem, which I don't understand how to use a system of equations to solve it. \r
\n" ); document.write( "\n" ); document.write( "\"Bruce invested in stock paying a 10.5% dividend. Maya invested $4,000 more than Bruce in a tax-free bonds paying 7˝% annual simple interest. If they invested for one year and Maya’s income from the investment was $75 more than Bruce’s, find out how much each invested.\"\r
\n" ); document.write( "\n" ); document.write( "Thank you! \n" ); document.write( "
Algebra.Com's Answer #734661 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Bruce invested in stock paying a 10.5% dividend. Maya invested $4,000 more than Bruce in a tax-free bonds paying 7˝% annual simple interest. If they invested for one year and Maya’s income from the investment was $75 more than Bruce’s, find out how much each invested.\"
\n" ); document.write( ":
\n" ); document.write( "let b = amt invested by Bruce
\n" ); document.write( "let m = amt invested by May
\n" ); document.write( ":
\n" ); document.write( "\" Maya’s income from the investment was $75 more than Bruce’s,
\n" ); document.write( ".075m - .105b = 75
\n" ); document.write( ":
\n" ); document.write( "\"Maya invested $4,000 more than Bruce\", therefore
\n" ); document.write( "m = b + 4000
\n" ); document.write( ":
\n" ); document.write( "replace m with (b+4000) in the first equation
\n" ); document.write( ".075(b+4000) - .105b = 75
\n" ); document.write( ".075b + 300 -.105b = 75
\n" ); document.write( ".075b - .105b = 75 - 300
\n" ); document.write( "-.03b = -225
\n" ); document.write( "b = -225/.03
\n" ); document.write( "b = $7,500 invested by Bruce
\n" ); document.write( "Find m
\n" ); document.write( "m = 7500 + 4000
\n" ); document.write( "m = $11,500 invested by May
\n" ); document.write( ":
\n" ); document.write( "Check this by finding the actual amt each received
\n" ); document.write( ".075(11500) = $862.50
\n" ); document.write( ".105(7500) = $787.50
\n" ); document.write( "-----------------------
\n" ); document.write( "income diff:= $75 \n" ); document.write( "
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