SOLUTION: A movie theater charges $5 admission for an adult and $3 for a child. If 700
tickets were sold and the total revenue received was $2900, how many
tickets of each type were sold
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tickets were sold and the total revenue received was $2900, how many
tickets of each type were sold
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Question 1088917: A movie theater charges $5 admission for an adult and $3 for a child. If 700
tickets were sold and the total revenue received was $2900, how many
tickets of each type were sold? Answer by ikleyn(52776) (Show Source):
a + c = 700, (1) (a = # of adults; c = # of children)
5a + 3c = 2900. (2)
Express a = 700 - c from 1) and substitute it into equation (2). You will get
5*(700 - c) + 3c = 2900.
Simplify and solve for c:
3500 - 5c + 3c = 2900,
-2c = 2900 - 3500 ====> -2c = - 600 ====> c = = 300.
Answer. 300 children and 700-300 = 400 adults.
