Final answer:
After subtracting the one-time delivery fee of 16 gold coins from the total budget, the remaining amount is divided by the cost per rose bush to determine that a maximum of 41 bushes can be purchased with 1000 gold coins.
Step-by-step explanation:
The question involves a basic math problem concerning budgeting for a purchase. To determine how many rose bushes can be purchased with at most 1000 gold coins, we must consider both the cost per bush and the delivery fee. The cost of each rose bush is 24 gold coins, and there is an additional one-time delivery fee of 16 gold coins.
First, subtract the delivery fee from the total budget: 1000 gold coins - 16 gold coins = 984 gold coins. This is the amount left for the actual bushes after the delivery fee is paid. Then, divide the remaining coins by the cost per bush: 984 gold coins / 24 gold coins per bush = 41 bushes. This shows that the student can buy up to 41 rose bushes with the budget of 1000 gold coins.