document.write( "Question 1165810: Mr. Flores invested Php 25,000.00 of his bonus at 16% per annum. He found another investment opportunity at 20% per annum where he invested the rest of his bonus. If he realized a total of yearly income of 19% on his two investments, How much did he invest at 20%? What was the amount of his bonus.​ \n" ); document.write( "
Algebra.Com's Answer #790291 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
let x equal the amount invested at 20%.
\n" ); document.write( "let y equals the total amount invested which equals his bonus.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "your formulas become:
\n" ); document.write( "25000 + x = y
\n" ); document.write( ".16 * 25000 + .20 * x = .19 * y\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "since y = 25000 + x, then your second equation becomes:
\n" ); document.write( ".16 * 25000 + .20 * x = .19 * (25000 + x).
\n" ); document.write( "simplify this equation to get:
\n" ); document.write( "4000 + .20 * x = 4750 + .19 * x
\n" ); document.write( "subtract 4000 from both sides of this equation and subtract .19 * x from both sides of this equation to get:
\n" ); document.write( ".20 * x - .19 * x = 4750 - 4000
\n" ); document.write( "combine like terms to get:
\n" ); document.write( ".01 * x = 750
\n" ); document.write( "solve for x to get:
\n" ); document.write( "x = 750 / .01 = 75000\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "you have x = 75000
\n" ); document.write( "this makes 25000 + x = y become 25000 + 75000 = 100,000\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "to confirm these values are good, replace the variables in the original equation with them to get:
\n" ); document.write( "25000 + 75000 = 100,000
\n" ); document.write( ".16 * 25000 + .20 * 75000 = 4000 + 15000 = 19000
\n" ); document.write( "19000 / 100,000 = .19 * 100 = 19%.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "solution looks good.
\n" ); document.write( "solution is:
\n" ); document.write( "he invested 75000 at 20% and his total bonus was 100,000.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );