Problema Solution

The Rocket Coaster has 15 cars, some that hold 4 people and some that hold 6 people.There is room for 72 people altogether. How many 4-passenger cars are there? How many 6-passenger cars are there?

Answer provided by our tutors

let


a = the number of 4-passengers cars

b = the number of 6-passengers cars


The Rocket Coaster has 15 cars


a + b = 15


There is room for 72 people altogether


4a + 6b = 72


by solving the system of equations


a + b = 15

4a + 6b = 72


we find


a = 9 4-passengers cars


b = 6 6-passengers cars


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there are nine 4-passengers cars.

there are six 6-passengers cars.