Question

The Celluloid Cinema sold 290 tickets to a movie. Some of these are child tickets and the rest were adult tickets. A child ticket cost $8 and an adult ticket costs $8.5. If the cinema sold 2407.5 worth of tickets, determine how many child tickets and how many adult tickets were sold?

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Answer 1

Answer:

child tickets: 115

adult tickets: 175

Step-by-step explanation:

number of child tickets = x

number of adult tickets = y

(value of child ticket [8] * number of child tickets [x]) + (value of adult ticket [8.5] * number of adult ticket [y]) = total value (2407.50)

8x + 8.5y= 2407.50

290 (total number of tickets) = x (number of child tickets) + y (number of adult tickets)

290 = x+y

system of equations: 8x + 8.5y= 2407.50

290 = x + y

solve equation:

x = 115

y = 175