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Contact [7]
3 years ago
15

If a caterer charges a fixed cost for preparing a dinner plus an additional cost for each person served. You know that the cost

for 100 students will be $750 and the cost for 150 students will be $1050. find the caterers fixed cost and the cost per student served.
Mathematics
2 answers:
zhuklara [117]3 years ago
8 0
It would be $6 per student while the fixed cost is $150
lozanna [386]3 years ago
3 0
x+100y=750 \\ x+150y=1050 \\ 50y=300 \\ y=6 \\ x=750-600=150
The fixed cost is $150, while the per-student cost is $6.
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Advocard [28]

The number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes

<h3>How to find the number of each type of dish.</h3>

Let

  • x = number of chicken dish and
  • y = number of lobster dish
<h3>How to determine the equations for the linear system</h3>

Since it cost $40 per dish for chicken dish, the total cost of chicken dish is 40x.

Also, since it cost $70 per dish for lobster dish, the total cost of lobster dish is 70y

So, the total cost of dish is T = 40x + 70y

Also, we know that the total cost of dish is $13,570.

So, 40x + 70y = 13570  (1)

Also, there are going to be 250 guest at the dinner and thus 250 dishes.

So, the total number of dishes is x + y = 250

So, x + y = 250 (2)

So, the equations of the linear system are

40x + 70y = 13570  (1)

x + y = 250 (2)

<h3>How to determine the solution for the linear system</h3>

Since

40x + 70y = 13570  (1)

x + y = 250 (2)

From (2), x = 250 - y

Substituting x into (1), we have

40x + 70y = 13570  (1)

40(250 - y) + 70y = 13570  (1)

10000 - 40y + 70y = 13570  

30y = 13570 - 10000

30y = 3570

y = 3570/30

y = 119

Substituting y = 119 into x, we have

x = 250 - y

x = 250 - 119

x = 131

Therefore, the number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes

Learn more about equation of linear system here:

brainly.com/question/13729904

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2 years ago
Is the point (5,-1) a solution of y=2x-11
Nataly [62]

if the given point satisfies this equation then it would be its solution

(-1)=2(5)-11

-1=10-1

-1=-1

lHS=RHS

Hence (/,-1) is the solution of y=2x-11

3 0
3 years ago
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