Determine the cost for an adult and for a child admission ticket.

Question

The cost of admission to fantasy world theme park totalled $120.50 for a group of 11 children and 2 adults. The admission totalled $100 for another group consisting of 7 children and 3 adults. Determine the cost for an adult and for a child admission ticket.

Answer 1

Let a = the cost of an adult ticket

Let c = the cost of a child ticket

2a + 11c = 120.50      Multiply this equation by 3; multiply the second equation by -2; add them together.

3a + 7c = 100

 

6a + 33c = 361.50

-6a -14c = -200

19c = 161.50

c = $8.50

 

2a + 11(8.50) = 120.50

2a + 93.50 = 120.50

2a = 27

a = $13.50