The Jurassic Zoo charges ​$9 for each adult admission and ​$3 for each child. The total bill for the 185 people from a school trip was ​789. How many adults and how many children went to the​ zoo?

Answer 1

Let the number of adults be A and the number of children be C.
Given:
Adult ticket cost = $9
Child ticket cost = $3
Total number of people = 185
Total ticket cost = $789
We can form two equations based on the given information:
1. A + C = 185 (equation representing the total number of people)
2. 9A + 3C = 789 (equation representing the total ticket cost)
Simplifying equation 1, we get A = 185 - C.
Now substituting this value of A in equation 2, we get 9(185 - C) + 3C = 789.
Simplifying further, we get 1665 - 9C + 3C = 789.
Combining like terms, we get -6C = -876.
Dividing both sides by -6, we get C = 146.
Now substituting the value of C in equation 1, we get A + 146 = 185.
Simplifying further, we get A = 185 - 146 = 39.
Therefore, the number of adults who went to the zoo is 39, and the number of children who went to the zoo is 146.