Problema Solution

The big Screamer coaster carries 92 people altogether. some of its cars carry 4 passengers. there are three less 6-passenger cars than4-passenger cars. how many 4-passenger cars are there

Answer provided by our tutors

X = 4passenger cars

X - 3 = 6passenger cars

4*X = people in 4 passenger cars

6*(X-3) = people in 6 passenger cars

92 = total people so

(4*X) + 6*(X-3) = 92

4x + 6X - 18 = 92

10X - 18 = 92

10X - 18 + 18 = 92 + 18

10X = 110

X = 11 = number of 4 passenger cars

11 - 3 = 8 = cars that hold 6 passengers

check

4*11 + 6*8 = 44 + 48 = 92