The Jurassic Zoo charges ​$13 for each adult admission and ​$4 for each child. The total bill for the 87 people from a school trip was ​$600. How many adults and how many children went to the​ zoo?

Answer 1

Let's assume the number of adults is x and the number of children is y.
According to the given information, the total number of people who went to the zoo is 87, so we have x + y = 87 (equation 1).
We also know that the total bill for the group was $600, so we have 13x + 4y = 600 (equation 2).
Now, we can use these two equations to solve for x and y. We can solve equation 1 for x by subtracting y from both sides: x = 87 - y.
Substituting the value of x in equation 2, we have 13(87-y) + 4y = 600.
Distributing and simplifying the equation, we get 1131 - 13y + 4y = 600.
Combining like terms, we get -9y + 1131 = 600.
Subtracting 1131 from both sides, we have -9y = -531.
Dividing both sides by -9, we get y = 59.
Substituting the value of y back into equation 1, we have x + 59 = 87.
Subtracting 59 from both sides, we get x = 28.
Therefore, there were 28 adults and 59 children who went to the zoo.