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.
Found 3 solutions by ikleyn, mananth, greenestamps:
Answer by ikleyn(52784)   (Show Source):
You can put this solution on YOUR website! .
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.
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First equation is
A - 20 = C + 20. (1)
Second equation is
A + 22 = 2*(C-22). (2)
To solve, subtract equation (1) from equation (2). You will get
22 + 20 = C - 44 - 20,
or
22 + 20 + 44 + 20 = C
C = 106.
Thus, Carla has 106 dollars; Angela has A = C + 20 + 20 = 146 dollars. ANSWER
You may check on your own, that the answer satisfies the given conditions.
Solved.
Answer by mananth(16946)  (Show Source):
You can put this solution on YOUR website! 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.
Answer by greenestamps(13200)  (Show Source):
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