Caterer A charges $15 per person and $100 to set up tables. Caterer B charges $20 per person and $50 to set up tables. Graph a system of equations to answer the following questions. For what number of guests will the cost of Caterer A be the same as the cost of Caterer B?
Answers
Answer: For 10 guests, the cost of Caterer A be the same as the cost of Caterer B
Step-by-step explanation:
Let for x guest the cost of Caterer A be the same as the cost of Caterer B,
According to the question,
The charge for x persons by caterer A,
100 + 15x
And, the charge for x person by caterer B,
50 + 20x
Thus, 100 + 15x = 50 + 20x
⇒ 100 - 5x = 50 ( By subtracting 20x on both sides)
⇒ 100 - 50 - 5x = 0 ( By subtracting 50 on both sides)
⇒ 50 - 5x = 0
⇒ -5x = -50
⇒ x = 10 ( Dividing both sides by -5)
Thus, For 10 guests, the cost of Caterer A be the same as the cost of Caterer B
Note: when we plot both equations that represent the charges of caterer A and B in the graph then the intersection point represents the answer. (shown below)
Answer:
x=10
Step-by-step explanation:
Trust me its 10