Question 14

Explanation

Mathematical Model

Let the money of Amri, Beni, and Dimas be $A, B,$ and $D$ respectively. Based on the problem, we can form a system of equations:

Solving the System

We want to find the value of $A$. Substitute equation (1) into equation (2):

Next, we eliminate $B$ using equations (3) and (4). Multiply equation (3) by $2$ so the coefficients of $B$ match:

Subtract the two equations:

Substitute $D = 14,000$ into equation (3) to find $B$:

Finally, substitute the values of $B$ and $D$ into equation (1) to find $A$:

Thus, Amri's money is $\text{Rp}67,000.00$.