Problema Solution

Ralph Chase plans to sell a piece of property for ​$160000. He wants the money to be paid off in two ways minusa ​short-term note at 10​% interest and a​ long-term note at 7​% interest. Find the amount of each note if the total annual interest paid is ​$13900.

Answer provided by our tutors

Let

x = the money paid at a short-term note at 10% interest

y = the money paid at a long-term note at 7% interest

Ralph Chase plan to sell a piece of property for $160,000

x + y = 160000

The total annual interest paid is $13,900

0.10x + 0.07y = 13900

We have the folloing system of equation 

x + y = 160000

0.10x + 0.07y = 13900

........

click here to see the system of equations solved for x and y

........

x = $90,000

y = $ 70,000

$90,000 is invested in short-term note at 10% interest.

$70,000 is invested in long-term note at 7% interest.