SOLUTION: at the highschool 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. yo
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Question 71922: at the highschool 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 costs $6 and each child's dinner cost $3.50.
let a = number of adult dinners and c = number of child dinners
a. write two equations to represent the total amountraised from the dinner and the total number of adult and children's dinners sold.
b. how many adult dinners were sold and how many child dinners were sold? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! 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 costs $6 and each child's dinner cost $3.50.
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a + c = 210
6a + 3.5c = 935
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Solve 1st equation for "a" to get a = 210-c
Substitute into 2nd equation:
6(210-c) + 3.5c = 935
1260 - 6c + 3.5 c = 935
-2.5c = -325
c = 130 (# of child tickets)
Therefore a = 210 - 130 = 80 (# of adults tickets)
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Cheers,
Stan H.
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