SOLUTION: Method of Substitution 9. Joanne's family decides to rent a hall for her retirement party. Pin Hall charges $500 for the hall and $15 per meal. Bloom Place charges $350 for the ha

Question 181731: Method of Substitution
9. Joanne's family decides to rent a hall for her retirement party. Pin Hall charges $500 for the hall and $15 per meal. Bloom Place charges $350 for the hall and $18 per meal.
a) Write two equations to represent the information.
b) Solve the linear system to find the number of guests for which the charges are the same at both halls.
Pleaseee and thank you very much. I need it today!!!
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
Method of Substitution
9. Joanne's family decides to rent a hall for her retirement party. Pin Hall charges $500 for the hall and $15 per meal. Bloom Place charges $350 for the hall and $18 per meal.
a) Write two equations to represent the information.
b) Solve the linear system to find the number of guests for which the charges are the same at both halls.
Pleaseee and thank you very much. I need it today!!!
:
a)Pin Hall: C=15m+500
:
Bloom Place: C=18m+350.....where C is the total cost and m is the number of meals
:
b) we only need set the equations equal to each other:
:
15m+500=18m+350
:
3m=150
:
meals......number of meals at which costs are equal

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