Question

Exercise #4: Kirk has 12 dollars less than Jim. If Jim spends half of his money, and Kirk spends none, then

Answer 1

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