Final answer:
Anna can afford a maximum of 7 snacks at the movie theater after purchasing her ticket within her $35 budget. This math problem relates to the broader economic concept of consumer's budget problem, where consumers have to allocate their limited income among various goods.
Step-by-step explanation:
The problem presented involves Anna, who is at a movie theater with a budget of $35. After spending $9.50 on a ticket, we want to determine how many snacks costing $3.50 each she can purchase. The inequality representing Anna's situation is 9.50 + 3.50x ≤ 35, where x represents the number of snacks. To calculate the maximum number of snacks Anna can buy, we subtract the cost of the ticket from her total budget, and then divide the remaining amount by the cost of one snack.
Step 1: Subtract the cost of the movie ticket from the total budget.
35 - 9.50 = 25.50
Step 2: Divide the remaining budget by the cost of one snack.
25.50 / 3.50 = 7.2857...
Since Anna cannot buy a fraction of a snack, she can buy a maximum of 7 snacks. This reinforces the fact that to determine the number of goods a consumer can purchase within a limited budget, a typical consumer's budget problem, one must consider the total income and the costs of individual items, similar to how Alphonso budgets for bus tickets and burgers in the reference scenario.