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?

Question

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.

Answer 2

Let's assume that the number of adult admissions is represented by 'A' and the number of child admissions is represented by 'C'.

According to the information given, we have two equations:

1) A + C = 185 (The total number of people)

2) 9A + 3C = 789 (The total bill amount)

We can solve this system of equations to find the values of A and C.

Let's start by solving equation 1) for A:
A = 185 - C

Now, substitute this value of A into equation 2):
9(185 - C) + 3C = 789

Simplifying the equation:
1665 - 9C + 3C = 789
-6C = 789 - 1665
-6C = -876

Now, divide both sides of the equation by -6 to solve for C:
C = -876 / -6
C = 146

Now substitute this value of C back into equation 1) to solve for A:
A = 185 - 146
A = 39

Therefore, there were 39 adults and 146 children who went to the zoo.

Answer 3

To determine the number of adults and children who went to the zoo, we need to set up a system of equations using the given information.

Let's assume that the number of adults is represented by 'A' and the number of children is represented by 'C'.

According to the given information, the total number of people who went to the zoo is 185. So, we can write our first equation as:

A + C = 185

The second equation is derived from the total bill amount of $789. Each adult admission costs $9 and each child admission costs $3. So, the equation for the total bill is:

9A + 3C = 789

Now we have a system of equations consisting of two equations:

Equation 1: A + C = 185
Equation 2: 9A + 3C = 789

To solve this system of equations, we can use substitution or elimination.

Let's use substitution method for this example. Is that clear?

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?

Let the number of adults be A and the number of children be C.

Let's assume that the number of adult admissions is represented by 'A' and the number of child admissions is represented by 'C'.

To determine the number of adults and children who went to the zoo, we need to set up a system of equations using the given information.

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?