Final answer:
To determine if Alex will have enough money to afford the gaming system by the end of the summer, we need to calculate his earnings rate and total earnings based on the number of weeks he works.
Step-by-step explanation:
According to the information given, Alex has earned $112 halfway through the summer after working. To determine if he will have enough money to afford the $220 gaming system by the end of the summer, we need to calculate his earnings rate and total earnings based on the number of weeks he works.
Since he earned $112 in half of the summer, we can assume that he will earn the same amount in the remaining half. Therefore, his weekly earnings rate is $112 ÷ (number of weeks in the remaining half of the summer).
We can then multiply his weekly earnings rate by the number of weeks until the end of the summer to calculate his total earnings. If the total earnings exceed $220, then he will have enough money to afford the gaming system.