Mark and Anthony run a catering business. Their fee for catering is $ 220 plus $ 20 per person. Their goal is to gross $ 4000 this month. Which of the following strategies would accomplish their goal?
A) 3 jobs with 30 people at each banquet and 2 jobs with 20 people at both banquets
B) 6 jobs with 22 people at each banquet
C) 2 jobs with 50 people at both banquets and 1 job with at least 68 people
D) 4 jobs with 30 people at each banquet
E) 5 jobs with 27 people at each banquet

Question

​Mark and Anthony run a catering business. Their fee for catering is $ 220 plus $ 20 per person. Their goal is to gross $ 4000 this month. Which of the following strategies would accomplish their goal?
A) ​3 jobs with 30 people at each banquet and 2 jobs with 20 people at both banquets
B) ​6 jobs with 22 people at each banquet
C) ​2 jobs with 50 people at both banquets and 1 job with at least 68 people
D) ​4 jobs with 30 people at each banquet
E) ​5 jobs with 27 people at each banquet

Quizplus · Accepted Answer

Let's use algebra to solve for the number of banquets they need to cater to gross $4000:

220 + 20p = 4000
20p = 3780
p = 189

This means they need to cater to 189 people. Now, let's evaluate each option:

A) 3 jobs with 30 people at each banquet and 2 jobs with 20 people at both banquets
3(30) + 2(20) = 100 total people
This option falls short of the 189 people needed.

B) 6 jobs with 22 people at each banquet
6(22) = 132 total people
This option also falls short of the 189 people needed.

C) 2 jobs with 50 people at both banquets and 1 job with at least 68 people
2(50) + 68 = 168 total people
This option is closest to the 189 people needed and would likely require a slightly larger job to meet the goal.

D) 4 jobs with 30 people at each banquet
4(30) = 120 total people
This option falls short of the 189 people needed.

E) 5 jobs with 27 people at each banquet
5(27) = 135 total people
This option also falls short of the 189 people needed.

Therefore, the best choice is C with the closest number of people needed and flexibility to adjust the size of one job to reach the goal.

​Mark and Anthony Run a Catering Business

Mark and Anthony Run a Catering Business