SOLUTION: A says to B, If you give me $12, we will have and equal amount of money." Monte respons,"that may be true but if you give me $6, I will have twice as much as you.How much money doe

Question 568392: A says to B, If you give me $12, we will have and equal amount of money." Monte respons,"that may be true but if you give me $6, I will have twice as much as you.How much money does A and B each have?
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
A says to B, If you give me $12, we will have and equal amount of money." Monte respons,"that may be true but if you give me $6, I will have twice as much as you.How much money does A and B each have?
===================
Let A = the amount of money A has
Let B = the amount of money B has
If B gives A 12, then B now has B-12 dollars and A now has A+12, and these two amounts are equal:
A+12 = B-12
If A gives B 6, then B will have twice as much as A:
B+6 = 2(A-6)
So we have two equations and two unknowns. Solve using your favorite method.
Ans: A = 42, B = 66
Check: If B gives A 12, they will both have 54
If A gives B 6, then A will have 36 and B will have 72, twice as much

RELATED QUESTIONS
John says to Brenda, "If you give me seven dollars, we will have an equal amount of... (answered by stanbon)

William says to Gracie, "If you give me $5.50, we will have an equal amount of money."... (answered by ankor@dixie-net.com)

Charlie says to Mia, "If you give me $9.00, we will have an equal amount of money." Mia... (answered by josgarithmetic)

John says to Brenda, "if you give me seven dollars, we will have an equal amount of... (answered by checkley77)

JOHN SYAYS TO BRENDA, "IF YOU GIVE ME SEVEN DOLLARS, WE WILL HAVE AN EQUAL AMOUNT OF... (answered by mananth)

I think this will be a linear equation, but I'm not sure. I don't even know where to... (answered by ankor@dixie-net.com)

There are two shepherds talking amongst themselves. One says to the other, "Give me one... (answered by ankor@dixie-net.com)

A and B have a certain number of mangoes . A says to B " If you give 30 of your mangoes I (answered by mukhopadhyay)

If you give me one, we will be equal. If I give you one, you will have twice as many as i (answered by josmiceli)