Jane saved $3,200 in two separate accounts. One account earns 4% annual interest and the other earns 5.2% in annual interest. If her total interest for the year was $140, then how much was in each account.
Let us call the first account Account A and the money in it $x.
Let us also call the second account Account B and the money in it $y.
From the given information, we know that 4% of the money in account A add 5.2% of the money in account B makes up $140. Therefore, we get the equation: 0.04x + 0.052y = $140. Let's call this equation 1.
Also, we know that x + y = $3200, since this is the total amount of money. Let's call this equation 2.
If we rearrange equation 2 we get y = 3200 - x.
We then substitute back into equation 1 to solve for x: