need help with math word problem

Question

The Jurassic Zoo charges $8 for each adult admission and $5 for each child. The total bill for the 219 people from a school trip was $1230. How many adults and how many children went to the zoo?

Answer 1

Let x = the number of adults admitted

 

y = the number of children admitted

 

We have the following equations

 

x + y = 219

 

8x + 5y = 1230

 

Use the Elimination Method to solve this system of equations

 

Solve the first equation for y (or you could choose x if you prefer)

 

y = 219 - x

 

Plug this into the second equation

 

8x + 5(219 - x) = 1230

 

8x + 1095 = 1230

 

8x = 135

 

x = 16.875 ≅ 16.88

 

You can use this to determine y. I will leave the rest for you, Danielle