SOLUTION: John says to Brenda, "if you give me seven dollars, we will have an equal amount of money." Brenda responds, "that may be true, but if you give me seven dollars, i will have one do

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: John says to Brenda, "if you give me seven dollars, we will have an equal amount of money." Brenda responds, "that may be true, but if you give me seven dollars, i will have one do      Log On


   

Question 363598: John says to Brenda, "if you give me seven dollars, we will have an equal amount of money." Brenda responds, "that may be true, but if you give me seven dollars, i will have one dollar shy of having twice as much money as you." How much money did John and Brenda each have? (Show as much work as possible)
Hint: When one person gets $7 the other one loses $7.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
X=JOHN'S MONEY
Y=BRENDA'S MONEY
X+7=Y-7 OR X=Y-14
Y+7=2X-1
Y+7=2(Y-14)-1
Y+7=2Y-28-1
Y-2Y=-29-7
-Y=-36
Y=36 AMOUNT OF BRENDA'S MONEY.
X=36-14
X=22 AMOUNT OF JOHN'S MONEY.
PROOF:
36+7=2*22-1
43=44-1
43=43