Posted by **Rachel** on Tuesday, August 10, 2010 at 10:13pm.

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?

- algebra -
**jai**, Tuesday, August 10, 2010 at 10:33pm
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.. =)

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