Asked by Caitlin

John says to Brenda, "if you give me eight dollars, we will have an equal amount of money." Brenda responds, "but if you give me eight dollars, I will have twice as much money as you." How much money did Brenda and John each have?
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Answers

Answered by bobpursley
J+8=B-8
B+8=2(J-8)

Answered by Caitlin
I got this far and still am stuck. How much do they each have?
Answered by Michael
Solve this system of equations by substitution or elimination.

Substitution would probably be easiest. Simply solve for b in the first equation and substitute that into the second equation.
Answered by Caitlin
I have tried substituting J and B with several different numbers and I can't come up with answer. I have been working on this so long and don't get it. How much money do they each have/
Answered by Mary
This on is pretty easy, you just have to create 2 equations base on the problem.
X = Jonh
Y = Brenda

X+8 =Y
Y+8 =X

X=Y-8

Y+8=2(Y-8)
Y+8=2Y-16
Y-2Y=-16-8
-Y=-24
Y=-24/-1
Y=24

X=Y-8
X=24-8
X=16

I also post the answer to your other problem... hope that help you at least a little.
Answered by Jeremy
That’s wrong... if
X =16 and Y=24 then
16+8=24 and 24-8=16 they don’t have the same amount. Also 16-8=8 and 24+8=32 Brenda does not have twice as much. The answer is John has 40 and Brenda has 56.
40+8=48 and 56-8=48. Equal amounts
40-8=32 and 56+8=64. Twice as much
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