Answer: Jim had $28 , Kirk had $16
Step-by-step explanation:
Let's represent the amount of money they had initially as k and j respectively.
From the first statement, Kirk has 12 dollars less than Jim. Mathematically, this could be expressed as :
K + 12 = J or K = J - 12
From the second sentence, we can deduce the following : If Jim's initial amount is halved, Kirk would be 2 dollars richer. This could he expressed mathematically as ;
J/2 = K - 2
NOW , let's solve both equations simultaneously.
K = J - 12 ..........(i)
J/2 = K - 2 ........(ii)
Let's substitute for k in equation ii using equation I
J/2 = J - 12 - 2
J/2 = J - 14
J = 2J - 28
Rearranging yields
2J - J = 28
J = 28
Since K = J - 12, that means k = 28 - 12 = 16
Hence initially, Jim had $28 while Kirk had $16
