Math Problem: Mr.Guevara had P 2000000 to invest. He invested part of it at 5% per year and the remainder at?

Alecia Kaehler: Mr Guevara

Marcelle Vanlith: Mr.Guevara had P 2000000 to invest. He invested part of it at 5% and the remainder at 4% per year. After one year, his investment grew to P 2095000. How much of the original investment was invested at 5%? please show me the solution ^ ^

Ambrose Mumma: $1,500,000 was invested at 5%To get the solution, you can set up a system of equations. You know, for example, that the amount invested at 5% (which I'll call x) and the amount invested at 4% (which I'll call y) total $2,000,000. Also, you can tell that he earned $95,000 in one year. Based on that, these are your equations:x + y = 2,000,0000.5x + .04y = 95,000Using substitution or elimintation you can then solve the system of equations. By substitution, for example:y = 2,000,000 - x, therefore:.05x + .04(2,000,000 - x) = 95,000.01x + 80,000 = 95,000.01x = 15,000x = $1,500,000You only need x according to the problem, but you can easily determine how much was also in! vested at 4% by subtracting the $1.5M from the original $2M, to get $500,000 was invested at 4%....Show more

Herma Ellebrecht: enable x volume is invested in shares as a result, 528374 - x is invested in bonds now (x * 9.40 5 / a hundred ) + (( 528374-x) * 6.12/a hundred ) could be equivalent to 42852 sparkling up the equation and you get the respond