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 the there are 4-passenger cars. write and equation to solve how many 4-passenger cars there are.

X = # of 4 passenger cars 
y = # of 6 passenger cars 

4x + 6y = 92 
x = y + 3 

4(y + 3) + 6y = 92 
4y + 12 + 6y = 92 
10y + 12 = 92 
10y = 80 
y = 8 

x = y + 3 
x = 8 + 3 
x = 11 

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