Answer:
At least 5 sets of cardsStep-by-step explanation:
Let the total set of cards sold to earn more than what is spent be x.
Now, cost per set of cards = 12 × $0.50 = $6.00
So, for x sets, cost = $6.00 × x = $6.00x
Cost of renting a table = $20
So, total money spent = $(6.00x + 20)
Total money earned by selling x sets of cards = $10.20 × x = $10.20
Now, to earn more than what is spent,
Total money earned > Total money spent
Thus,
10.20x > 6.00x + 20
4.20x > 20
x > 4.76 which rounds to 5 sets of cards.
Thus, to earn more than what is spent, at least 5 sets of cards must be sold