Question

Josiah says to Mia “if you give me 8.50, we will have an equal amount of money.” Mia responds, “That may be true,but if you give me 8.50 instead, I will have twice as much money as you” How much money did hoaxing and Mia each have in the beginning?

Please show as much work as possible
On paper if possible

Answer 1

From Josiah's statement, we know that if Mia gives him $8.50, they will have an equal amount of money. This can be expressed as:

J + 8.50 = M - 8.50

Simplifying this equation, we get:

J = M - 17

From Mia's statement, we know that if Josiah gives her $8.50, she will have twice as much money as Josiah. This can be expressed as:

M + 8.50 = 2(J - 8.50)

Substituting J = M - 17, we get:

M + 8.50 = 2(M - 17 - 8.50)

Simplifying this equation, we get:

M + 8.50 = 2M - 51

Solving for M, we get:

M = 59.50

Substituting M = 59.50 into J = M - 17, we get:

J = 42.50

Therefore, Josiah had $42.50 in the beginning, and Mia had $59.50.