James invests a total of $11,500 in two accounts. The first account earned a rate of return of 15% (after a year). However, the second account suffered a 10% loss in the same time period.

Question

James invests a total of $11,500 in two accounts. The first account earned a rate of return of 15% (after a year). However, the second account suffered a 10% loss in the same time period. At the end of one year, the total amount of money gained was $1,100.00. How much was invested into each account?

$ was invested in the account that gained 15% and

$ was invested in the account that lost 10%.

Answer 1

11,500 returned net 1,100

some at 15% gain, the other at 10% loss

.15x - .10(11,500-x) = 1100

.15x+.10x = 1100 +1,150 = 2250

.25x = 2250

x = 2250/.25

x = $9,000 invested at 15%

11,500 -9,000 = $2,500 invested with a loss of 10%

.15(9,000) -.10(2500)= 1,350 - 250 = 1100