Final answer:
Alex will have enough money to buy the gaming system if he continues to work and earn money at the same rate.
Step-by-step explanation:
In order to determine if Alex will earn enough money to buy the gaming system, he can continue to work and earn money at the same rate. Let's calculate how much money he will have at the end of the summer based on the information provided.
Given that Alex earned $112 after working for 4 weeks, we can calculate his weekly earnings by dividing $112 by 4. This gives us $28 as his weekly earnings.
If Alex continues to work for the entire summer, which is 8 weeks, he will earn a total of 8 weeks multiplied by $28 per week, which is $224.
Since the gaming system costs $220, Alex will have enough money to buy the gaming system if he continues to work and earn money at the same rate.