The Jurassic Zoo charges ​$9 for each adult admission and ​$7 for each child. The total bill for the 80 people from a school trip was ​$602. 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.

The cost for adults is $9 per person, so the total cost for adults is 9x.
The cost for children is $7 per person, so the total cost for children is 7y.

The total bill for the 80 people who went to the zoo is $602:

9x + 7y = 602

We also know that there were a total of 80 people at the zoo:

x + y = 80

We can solve this system of equations to find the values of x and y.

Let's solve the second equation for x:

x = 80 - y

Substituting this value of x in the first equation, we get:

9(80 - y) + 7y = 602

Simplifying,

720 - 9y + 7y = 602

-2y = 602 - 720

-2y = -118

Dividing both sides by -2, we get:

y = (-118) / (-2) = 59

Substituting this value of y in the equation x = 80 - y, we get:

x = 80 - 59 = 21

So, there were 21 adults and 59 children at the zoo.