SOLUTION: 1.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.

Question 25312: 1.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
Write two equations to represent the total amount raised from the dinner and the total
2.2. 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.
Answer by Paul(988) (Show Source):
You can put this solution on YOUR website!
Let the cost for childern diner be x
Let the cost for adult diner be y
x+y=210
y=210-x (subsitution)

3.5x+6y=935
3.5x+6(210-x)=935
3.5x+1260-6x=935
-2.5x = -325
x=130
y=210-130
y=80

Hence, about 80 adults diner were sold, and about 130 childern dinner were sold.
Paul.