Problema Solution

The Big Screamer Coaster carries 92 people altogether. Some of its cars carry 4 passengers, and the rest carry 6 passengers. There are 3 less 6-passenger cars than 4-passenger cars. How many 4-passenger cars are there?

Answer provided by our tutors

Let 'x' represent the number of cars that carries 4 passengers and 'y' represent the number of cars that carries 6 passengers. From the question, we can write:


4x+6y=92

y=x-3


Using Algebrator to solve for 'x' and 'y', we get:

x=11 (4 passenger cars)

y=8 (6 passenger cars)