Problema Solution

There were 32 vehicles stuck on a bridge. A city law states that only cars with 4 wheels and trucks with 6 wheels are allowed on the bridge. There were 148 tires that needed to be replaced. How many cars and trucks were involved in the incident

Answer provided by our tutors

let


c = the number of cars

t = the number of trucks


There were 32 vehicles stuck on a bridge:


c + t = 32


There were 148 tires that needed to be replaced:


4c + 6t = 148 divide both sides by 2


2c + 3t = 74


by solving the system of equations


c + t = 32

2c + 3t = 74


we find


c = 22 cars


t = 10 trucks


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there were 22 cars and 10 trucks involved in the accident.