Question

Eve said to Adam, “if you give me a dollar, then we will have the same amount of money.” Adam replied, “Eve, if you give me one dollar, I will have double the amount of money you are left with.” How much does each have?

Answer 1

Eve has $5

Adam has $7

Explanation:

let Eve's money = x

Adam's money = y

Eve said to Adam, “if you give me a dollar, then we will have the same amount of money

We can make this equation

x + 1 = y + 1

Eve, if you give me one dollar, I will have double the amount of money you are left with.

We can make this equation

y + 1 = 2(x - 1)

y + 1 = 2x - 2

y = 2x - 3

If x + 1 = y + 1, then

x + 1 = 2x - 3 - 1

x - 2x = -3 -1 -1

-x = -5

x = 5 Eve has $5

Since y = 2x - 3

y = 2(5) - 3

y = 10 - 7

y = 7 Adam has $7