Question 1204637
angela has more money than carla. If angela gave carla 20$, they would have the same amount. If carla gave angela 22$, angela would have twice the amount as carla. How much does each person have? Form and use equations to find your answer.

Let angela have $x
Carla have $y
If angela gave carla 20$, they would have the same amount.

x-20=y+20
x-y=40----------------------(1)

If carla gave angela 22$, angela would have twice the amount as carla

y-22 = (x+22)= 2(y-22)

x+22=2y-44
x-2y= -66--------------------(2)
Multiply (1) by -2 and add the equation to(2)
-2x+2y=-80
x-2y= -66
-x= -146

x=146

146-y =40

y=106


Therefore, Angela has $146, and Carla has $106.