How many adults and children were in the bus?

Question

an organizer of a field trip charged 800 to adult passengers and 600 to child passengers. if he collected 31,600 from all 48 passengers, how many adults and children were in the bus?

Answer 1

8A + 6C = 316

A+C = 48, multiply both sides by 6

6A+6C = 288 subtract this from 1st equation to get

2A = 28 divide by 2

A = 14 adults

C= 48-14 = 34 children

8(14)+6(34) = 112 + 204 = 316