ANSWER
![\$620](https://img.qammunity.org/2023/formulas/mathematics/college/hcttgb6hbh1z83zr398qcwdpfml4es2p00.png)
Step-by-step explanation
Let the original price of the gas grill be x.
This means that x was reduced by 10% to obtain the price of $558.
This means that:
![x-((10)/(100)\cdot x)=558](https://img.qammunity.org/2023/formulas/mathematics/college/elkzlwrcmz146snb0wlsqoy9gq46scufkj.png)
Solve for x in the equation given above:
![\begin{gathered} x-0.1x=558 \\ \Rightarrow0.9x=558 \\ x=(558)/(0.9) \\ x=\$620 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/de8k1wux8c81807z7b8u37bh2mcqhh0y9r.png)
Therefore, the original price of the grill is $620.