Question

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

Answer 1

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`