Problema Solution

The Jurassic Zoo charges $14 for each adult and $4 for each child. The total bill for the 284 people from a school trip was $2026. How many adults and how many children went to the zoo?

Answer provided by our tutors

a = number of adults

c = number of children

 

14a + 4c = 2026

a + c = 284

 

=>  a = 284 - c

 

=>  14(284 - c) + 4c = 2026

3976 - 14c + 4c = 2026

3976 - 10c = 2026

-10c = -1950

 

c = 195

 

a + (195) = 284

 

a = 89

 

195 children and 89 adults went to the zoo.