Austin & Kaitlyn Kojan invested $195,000 in a business venture. If Kaitlyn invested 2 1/4 as much as Austin invested, how much money did Kaitlyn invest?
Let x = the amount that Austin invested.
2 1/4x + x = 195,000
3 1/4x = 195,000
x = 60,000
195,000 - 60,000 = _______ amount Kaitlyn invested
To find out how much money Kaitlyn invested, let's first assign a variable to Austin's investment. Let's say Austin invested x dollars.
According to the problem, Kaitlyn invested 2 1/4 as much as Austin. This can be written as 2.25x.
The total amount invested is $195,000. So we can set up an equation:
x + 2.25x = $195,000
Now, combine like terms:
3.25x = $195,000
To isolate x, divide both sides of the equation by 3.25:
x = $195,000 / 3.25
Calculating the value of x, we get:
x ≈ $60,000
Now, we can find out how much money Kaitlyn invested. Substitute the value of x into the equation 2.25x:
2.25 * $60,000 = $<<2.25*60000=135000>>135,000
Therefore, Kaitlyn invested $135,000 in the business venture.