### Home > INT1 > Chapter 11 > Lesson 11.2.1 > Problem11-47

11-47.

Marius invests $10,000$ in stocks and bonds, paying $3\%$ and $5\%$ annual interest, respectively. If the total interest Marius earned for the year is $430$, how much was invested in stocks and how much was invested in bonds?

Let $x =$ the amount of money invested at 3% and $y =$ the amount of money invested at $5\%$. Write expressions that represent the amount of interest earned on each type of account.

Write a system of equations: one equation will be for the total amount of money invested $(10,000)$ the other equation will represent the interest $(430)$.