Question

Translate to a system of equations:Last month, Jim and Debbie earned $7,200. Debbie earned $1,600 more than Jim earned. How much did they each earn? Call the amount that Jim earned j and the amount that Debbie earned d.

Answer 1

Let j denote the amount that Jim earned.

Let d denote the amount that Debbie earned.

Last month, Jim and Debbie earned $7,200

Mathematically, we can write it as

`j+d=7200`

Debbie earned $1,600 more than Jim earned.

Mathematically, we can write it as

`d=j+1600`

Therefore, the system of equations is

`\begin{gathered} j+d=7200 \\ d=j+1600 \end{gathered}`