SOLUTION: At the high school band's annual spaghetti dinner, the members served 210 dinners and collected $935. The band leader did not designate which ticket was an adult or child dinner. Y

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Question 88443: At the high school band's annual spaghetti dinner, the members served 210 dinners and collected $935. The band leader did not designate which ticket was an adult or child dinner. You need to know that to prepare the correct amount of food and for future planning. Each adult dinner cost $6 and each child's dinner cost $3.50.
Let a = number of adult dinners
Let c = number of child dinners

1. Write two equations to represent the total amount raised from the dinner and the total.



You need to have 2 equations -- one for the total number of dinners and one for the total amount of money made.


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2. Use substitution to solve the above system of equations. How many adult dinners were sold and how many child dinners were sold?
Show all your work to receive full credit for this problem.



Substitution means to solve one equation for one variable and substitute that into the other equation. You will then have only one variable in your equation.

Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
A+C=210
A=210-C
6A+3.5C=935
6(210-C)+3.5C=935
1260-6C+3.5C=935
-2.5C=935-1260
-2.5C=-325
C=-325/-2.5
C=130 CHILDREN TICKETS SOLD.
210-130=80 ADULT TICKETS SOLD.
PROOF
6*80+3.5*130=935
480+455=935
935=935