Question

Olive is catering a dinner party for more than 18 guests. Each guest has a choice between a vegetarian dinner or a steak dinner. The vegetarian dinner is $20 per plate and the steak dinner is $30 per plate. Olive can spend no more than $530 on the entire party. If Olive wants to purchase the most amount of food and still stay within budget, which combination of vegetarian and steak dinners is optimal?
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Answer 1

Can someone help me im honestly completely lost

Answer 2

This sounds like guess and check? If so, I bet like other instructors mention you cant use guess check. You could use algebra instead

Answer 3

thats the thing though im completely lost

Answer 4

yeah but the answears i have to pick from are (16, 7)

(19, 5)

(22, 3)

(25, 1)

Answer 5

How do you know it is optimal though @SGREBORN

Answer 6

*
answers

Answer 7

well surely it must be the latter because 25 +1 is more food than any of the other options and it will come in at exactly 530

Answer 8

Looking at the answers, she will buy the most dinners with the last one.

Answer 9

Thanks s much guys your all awesome

Answer 10

Steak is bigger portion than vegetarian food so logically go for 1 vegetarian serving and 17 steaks

Answer 11

I think you're making a false assumption. You don't know what the serving sizes are for her party. In addition, that's not even an available answer.

The problem states that she wants to buy the "most amount of food". A better assumption in my opinion would be that she's looking to serve the most people.

Answer 12

Yes i agree...but from my point of view most amount of food would equate to most calories that would satisfy the hunger. This would mean more meat than veggie unless there are vegetarians stated in the problem sum.

Answer 13

Are you serious?