The Jurassic Zoo charges ​$5 for each adult admission and ​$3 for each child. The total bill for the 169 people from a school trip was ​$597. How many adults and how many children went to the​ zoo?

Question

The Jurassic Zoo charges ​$5 for each adult admission and ​$3 for each child. The total bill for the 169 people from a school trip was ​$597. How many adults and how many children went to the​ zoo?  

Answer 1

5A + 3C = 597

A + C = 169, multiply by 3 and subtract from the next equation

5A + 3C = 597

3A + 3C = 507

2A = 90 divide by 2

A = 90/2 = 45 adults

C =169-45 = 124 children

check the answer

5(45)+3(124) = 225+372 = 597