document.write( "Question 877223: Please help not sure how to go about answering this problem, here goes: A business man invest a total of $13900 into two businesses A and B at the simple interest rate of 14% per annum and 11% per annum respectively. If the total amount of simple interest for 2 years was $3508, what was the amount invested in business B
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Algebra.Com's Answer #529247 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! let x be amount invested in business A and y amount invested in business B, then \n" ); document.write( "x + y = 13900 \n" ); document.write( "now I = p*r*t \n" ); document.write( "3508 = (.14x + .11y) * 2 \n" ); document.write( "solve first equation for x \n" ); document.write( "x = 13900 - y \n" ); document.write( "substitute for y in second equation \n" ); document.write( "3508 = (.14(13900-y) + .11y) * 2 \n" ); document.write( "divide both sides of = by 2 \n" ); document.write( "1754 = (1946 -.14y + .11y) \n" ); document.write( "1754 = (1946 -.03y) \n" ); document.write( ".03y = 192 \n" ); document.write( "y = 6400 \n" ); document.write( "$6400 invested in business B \n" ); document.write( " \n" ); document.write( " |