The Jurassic Zoo charges ​$13 for each adult admission and ​$4 for each child. The total bill for the 160 people from a school trip was ​$901. How many adults and how many children went to the​ zoo?  

word problem

1 Answer
Oct 30, 2017

There are 29 adults and 131 children

Explanation:

Let the number of adults be x
Let the number of children be y

from the question

Equation 1 - x + y = 160
Equation 2 - 13x + 4y = 901

Re-arrange equation 1
Equation 3 - y = 160-x

Substitute for y in equation 2 using equation 3
Equation 4 - 13x +4*160 -4x = 901

simplify
9x = 261
x = 29

Substitute the value of x into equation 1 and simplify
29 + y = 160
y = 131