Let's assume Lindsay has $x.
Given that, kate has 4 times as much as lindsay .
So, Kate have $4x.
The other information is that Kate and lindsey have $3450 together.
Which means sum of x and 4x must be equa to 3450. Therefore, we can set up an equation as following:
x + 4x = 3450
5x = 3450 Combine the like terms.
Divide each sides by 5 to isolate x.
So, x = 690.
So, Kate have 4x = 4(690) = 2760.
So, Kate have $2760
Hope this helps you !