i need help with word problem

Question

Alewuya invests a total of $14,800 in two accounts. The first account earned a rate of return of 11% (after a year). However, the second account suffered a 2% loss in the same time period. At the end of one year, the total amount of money gained was $211. How much was invested into each account?

Answer 1

let x = amount invested at 11%

14800-x = amount invested at 2%

.11x -.02(14,800-x) =211

.11x+.02x = 211+.02(14,800)

.13x = 211 +296= 507

x= 507/.13=$3900 invested at 11%

14800-3900= $10,900 invested at 2%

.

check the answers:

.11(3900)-.02(10900)

=429-218

=211