Question

Define a variable, set up an equation, and solve. “The population of Metsville is 1,274 people less than the population of Eden. If the population of Eden is 9,021 people, what is the population of Metsville?”

Answer 1

Define a variable

`\begin{gathered} \text{Let the population of Metsville be } \\ N \end{gathered}`

Write out the parameter given

`\begin{gathered} \text{The population of Eden is } \\ 9021 \end{gathered}`

The population of Metsville is 1,274 people less than the population of Eden. can be written as

`The\text{ population of Eden =The population of Metsville}+1274`

The equation becomes

`9021=M+1274`

Then subtract 1274 from both sides of the equation

`\begin{gathered} 9021=M+1274 \\ 9021-1274=M+1274-1274 \\ \text{Hence} \\ M=9021-1274 \\ M=7747 \end{gathered}`