document.write( "Question 963882: I am having a word problem issue and was hoping you could assist me.The Problem is:\r
\n" ); document.write( "\n" ); document.write( "Someone invested $7500 into two mutual funds. One fund earned 4% profit while the other took a loss of 13% Despite the loss, this person made a profit of $45. how much did he invest in both funds.
\n" ); document.write( "Can you help me solve this problem? \n" ); document.write( "
Algebra.Com's Answer #588846 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
let x be the amount invested in the 4% profit fund and y be the amount invested in the 13% loss fund, then
\n" ); document.write( "x + y = 7500
\n" ); document.write( ".04x -.13y = 45
\n" ); document.write( "solve first equation for x and substitute for x in second equation
\n" ); document.write( ".04(7500-y) -.13y = 45
\n" ); document.write( "300 -.04y -.13y = 45
\n" ); document.write( "-.17y = -255
\n" ); document.write( "y = 1500
\n" ); document.write( "x = 6000
\n" ); document.write( "$6000 was invested at 4% and $1500 was invested at a loss of 13%
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\n" ); document.write( "now check the answer by substituting in second equation
\n" ); document.write( ".04(6000) -.13(1500) = 45
\n" ); document.write( "240 - 195 = 45
\n" ); document.write( "45 = 45
\n" ); document.write( "our answer checks
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