Question

Austin and Kaitlyn Kojan invested$195,000 in a business venture if Kaitlyn invested 2 1/4 times as much as Austin invested how much money did Kaitlyn invest

Answer 1

Ok so lets say Kaitlyn's investment is x and Austin's is y:
We know:\[x+y=195000\]
and that \[\frac{ 9 }{ 4 }y=x\]
(2 1/4 equals 9/4)(Remember x is kaitlyn y is austin)
Now we know that:\[x=\frac{ 9 }{ 4 }y\]
So lets use that for x (kaitlyn's investment) in the original equation so:
\[\frac{ 9 }{ 4 }y+y=195000\]
Simplify:\[\frac{ 13 }{ 4 }y=195000\]
Divide:\[y=60000\](Austin's investment)

Now that we know y (Austin's investment) we can solve for x (kaitlyn's investment):
\[x+60000=195000\]
Subtract 60000:
\[x=135000\](kaitlyn's investment)

THE ANSWER IS:
KAITLYN INVESTED 135,000 DOLLARS AND AUSTIN INVESTED 60,000 DOLLARS.