SOLUTION: A theater wants to take in at least $2000 for the matinee . Childrens tickets costs $ 5 each and adult tickets cost $ 10 each . The theater can seat up to

Question 1063217: A theater wants to take in at least $2000 for the matinee . Childrens tickets costs $ 5 each and adult tickets cost $ 10 each . The theater can seat up to 350 people . Find five combinations of children and adult tickets that will make the $ 2000 goal

Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
a+c = 350
c = 350-a
-------------
5c+10a = 2000
5(350-a)+10a = 2000
1750-5a+10a = 2000
5a = 250
a = 50
In order to make at least 2000 you need at least 50 adults and 300 children. Make your own additional combinations by increasing the number of adults and proportionally decreasing the number of children. Always calculate the total for each iteration:
adults...: 50*10 = 500
children: 300*5 = 1500
total. . . . . . 2000
-------------
adults. .: 60*10 600
children: 290*5 1450
total . . . . .2050
:
etcetera
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