Question

Please help!
Oliver is catering a dinner party for more than 22 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. Oliver can spend no more than $610 on the entire party. If Oliver wants to purchase the most amount of food and still stay within budget, which combination of vegetarian and steak dinners is optimal?

(26, 3)

(29, 1)

(20, 7)

(23, 5)

Answer 1

Any help would be awesome (:

Answer 2

V=number of vegetarian dinners
S = number of steak dinners
total/max amount to spend = 610
cost of vegetarian diner = 20
cost of steak diner = 30
All you have to do is plug in each answer choice into this equation:
V(20) + S(30) ≤ 610
The answer choice that has the most amount of meals, but doesn't go over 610, is the correct answer.
Hope this helps. :)

Answer 3

So the answer would be A, correct?

Answer 4

Thank you so much! I hate it when I can't remember the formulas. You were extremely helpful! :D

Answer 5

You're welcome.