Question 1168063: The cost of a ticket to an amusement park is Php 250.00 for children and Php 500.00 for adults. On a certain day, attendance at the park is 2 000 and total gate revenue is Php 750, 000. How many children and how many adults bought tickets? (5 points)
Answer by greenestamps(13209)   (Show Source):
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One possible algebraic setup, using two variables:
x = # of child tickets
y = # of adults tickets
x+y = 2000 (total attendance was 2000)
250x+500y = 750000 (total ticket revenue was 750,000)
Solve the pair of equations....
Another possible setup, using a single variable:
x = # of child tickets
2000-x = # of adult tickets (because the total number of tickets was 2000)
250(x)+500(2000-x) = 750000
Solve the single equation....
A quick solution using mental arithmetic:
The average ticket price was 750000/2000 = 375, which is exactly halfway between 250 and 500; therefore, half the tickets were child tickets and half were adult tickets.
ANSWER: 1000 children and 1000 adults
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