Final answer:
To find the number of guests you can invite to the party, you need to set up an inequality based on the given information. By solving the inequality, you can determine the maximum number of guests.
Step-by-step explanation:
To find the number of guests you can invite to the party, we need to set up an inequality based on the given information. Let x represent the number of guests. The total amount spent on sandwiches would be $10 per guest, so the total amount spent on sandwiches would be 10x. Adding the $20 spent on beverages, the total amount spent is 10x + 20. The inequality would be:
10x + 20 ≤ 100
To solve for x, we need to subtract 20 from both sides of the inequality:
10x ≤ 80
Finally, divide both sides of the inequality by 10 to solve for x:
x ≤ 8
Therefore, you can invite a maximum of 8 guests to the party.