Let x represent the number of weeks he needs
Given that he can save $30 per week, it means that in x weeks, he can save $30x
We were also told that he already has $40. This means that the total amount that he has afterx weeks is
30x + 40
Given that Tim is trying to save $160 to buy a new gaming system, it means that the amount that he need is greater than or equal to $160
Thus, the inequality representing this situation is
[tex]\begin{gathered} 30x\text{ + 40 }\ge\text{ 160} \\ 30x\text{ }\ge160\text{ - 40} \\ 30x\text{ }\ge120 \\ x\text{ }\ge\frac{120}{30} \\ x\ge\text{ 4} \end{gathered}[/tex]After 4 weeks, he will have enough money.
