Question

Jorge is attending a La Joya soccer game. He has$15.00 to spend at the game. If a ticket cost $5.00 anplate of nachos cost $2.50 each. Which inequalitycould describe how many nachos, n, Jorge could buy?

A. 5n + 2.5< 15
B. 5n+ 2.5 > 15
C.5n+ 5 < 15
D. 2.5n+ 5 > 15

Answer 1

The inequality that represents the number of nachos Jorge could buy is 2.5n + 5 ≤ 15 because he needs to pay for a $5.00 ticket first and then can use the remaining money to buy nachos at $2.50 each, without exceeding his $15 budget.

Step-by-step explanation:

Jorge is attending a La Joya soccer game with a budget of $15.00. He has to pay for the ticket first, which costs $5.00, and then he wants to spend the remaining amount on plates of nachos that cost $2.50 each. To find out the inequality that represents how many plates of nachos, n, Jorge could buy, we should set up an inequality that takes into account the initial cost of the ticket and the cost per plate of nachos:

5.00 (ticket cost) + 2.50n (cost for n nachos) ≤ 15.00 (total budget)

Therefore, the correct inequality would be 2.5n + 5 ≤ 15, which simplifies to 2.5n ≤ 10 when we subtract the ticket cost from both sides. This inequality shows that Jorge can buy nachos as long as the total cost does not exceed the leftover $10 after purchasing the ticket.

Choice D reflects this situation correctly: 2.5n + 5 ≤ 15.