This morning, jim had half as much money as his brother and $27 dollars less than his sister. then his brother paid jim and his sister each $12 dollars to take the dogs out for a walk. after the payoff, jim's brother had half as much money as jim's sister. how much money does jim have now?

Jim has $37.67

Step-by-step explanation:

Let in the morning Jim had $x, his brother had $y and his sister had $z.

Jim had half as much money as his brother.

So, ........ (1)

And Jim had $27 less than his sister.

So, x = z - 27 ........ (2)

⇒ {From equation (1)}

⇒ y = 2z - 54

⇒ 2z - y =54 ..........(3)

Now, his brother paid Jim and his sister each $12.

Therefore, now, Jim has $(x + 12), his brother has $(y -24) and his sister has $(z + 12).

Given that after payoff, Jim's brother has half as much money as Jim's sister.

So,

⇒ z + 12 = 2y - 48

⇒ 2y - z = 50 ......... (4)

Now, solving equations (3) and (4), we get

3y = 54 + 100 = 154

⇒ y =  51.33.

Now, from equation (3),we have z = 52.67

And from equation (1),

So, now, Jim has (25.67 + 12) = $37.67 (Answer)