Final answer:
After calculating the effective prices of both consoles by subtracting the value of the free game or gift card, Console A is the better deal with an effective price of $240, compared to Console B's $260 effective price.
Step-by-step explanation:
To determine which gaming console offers a better deal, we need to calculate the effective price after considering the value of the included free items or gift cards. Console A is priced at $300, but it comes with a free game valued at $60, so the effective price of Console A is $300 - $60 = $240. On the other hand, Console B is priced at $280, and it includes a $20 gift card, which brings its effective cost down to $280 - $20 = $260.
Comparing the effective prices, Console A costs $240 while Console B costs $260. Therefore, Console A offers the better deal because it has an effective price that is $20 less than that of Console B.