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You buy lunch for guests at a party. You can spend no more than $100. You will spend $20 on beverages and $10 per guest on sandwiches. Write and solve an inequality to find the number of guests you can invite to the party.

2 Answers

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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.

User Beastieboy
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you can invite 2 people+ you so that would be 3 people.So 1 bevrage and one sandwitch each person and you have 10$ tip
User Bulletmagnet
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