# The Cyclone Coaster has 16 cars. Some of them hold 2 passengers and some hold 3 passengers. If there is room for 36 people altogether, how many cars hold 3 passengers?

##### 1 Answer

Sep 22, 2016

we can fit 36 people in 12 cars that fit 2 people and 4 cars that fit 3 people.

#### Explanation:

so in this problem we have a total of 16 cars where some proportion can hold 2 versus 3. We are also given that there are 36 people in these cars. I can write this mathematically as

we can now solve the system of equations thus I will subtract one from the other and solve

so

lets plug that back in and solve for y

so

now i plug this back in to get

so

In summary we can fit 36 people in 12 cars that fit 2 people and 4 cars that fit 3 people.