$8800 is invested in two different accounts. One account pays 19% simple interest per year and the other account pays 24% simple interest per year. If the total interest earn in one year is $2027.00, how much is invested at each rate?

Let $LaTeX: \displaystyle x$ be the amount invested at 19%. Then $LaTeX: \displaystyle 8800-x$ is amount invested at 24%. This gives the equation $LaTeX: \displaystyle 0.19 x+0.24(8800 - x)=2027$ . Solving for $LaTeX: \displaystyle x$ gives $LaTeX: \displaystyle x = 1700$ . So the amount in the other account is $7100.