Problema Solution
The coaster carries 92 people altogether. Some of its cars carry 4 passengers, the rest carry 6 passengers. There are three less 6 passenger cars than 4 passenger cars. How many 4 passenger cars are there?
Answer provided by our tutors
we will assume that the coaster carries only 4 passenger and 6 passenger cars
let
x = the number of 4 passenger cars
y = the number of 6 passenger cars
4x + 6y = 92 divide both sides by 2
2x + 3y = 46
there are three less 6 passenger cars than 4 passenger cars
y = x - 3
by solving the system of equations
2x + 3y = 46
y = x - 3
we find
x = 11
y = 8
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there are 11 four passenger cars.