The Big Screamer Coaster carries 92 people altogether. Some of its cars carry 4 passengers, and the rest carry 6 passengers. There are three less 6-passenger cars than 4-passenger cars. How many 4-passenger cars are there?

Answer 1

first, represent them as variables:
let x = four-passenger cars
let y = six-passenger cars
set up the equations [since two unknowns, you must have two equations]:
(1) 4x+6y=92 ==> since 92 people altogether
(2) y=x-3 ==> since three less six-passenger cars

then you can substitute the equation (2) to (1):
4x+6(x-3)=92
4x+6x-18=92
10x=110
x=11 four-passenger cars

i hope i was able to help.. =)

Answer 2

thank you this was very helpful