The Jurassic Zoo charges ​$10 for each adult admission and ​$6 for each child.

Question

The total bill for the 132 people from a school trip was $928. How many adults and how many children went to the zoo?

Answer 1

Hi Nikki, let a represent the adults and c represent the children. 

 

Equation 1, total number of adults and children:

 

a + c = 132

 

Equation 2, total cost of tickets:

 

10a + 6c = 928

 

Solve equation 1 for a:

 

a + c = 132

 

a = 132 - c

 

Substitute for a in equation 2:

 

10 * (132 - c) + 6c = 928

 

1320 - 10c + 6c = 928

 

Combine terms:

 

4c = 392

 

c = 98

 

Substitute for c in equation 1 to find the number of adult tickets:

 

a + 98 = 132

 

a = 34

 

The zoo sold 34 adult tickets and 98 child tickets.

 

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