In a certain used-car lot, there are 4 times as many blue cars as green cars and \(1/3\) as many green cars as red cars. If there are \(4q\) red cars in the lot, how many blue cars are in the lot?
Explanation: Let B, G, and R be the number of blue, green, and red cars, respectively. Given: \(B = 4G\), and \(G = 1/3 R\). Also, \(R = 4q\). Substitute \(R = 4q\) into the equation for G: \(G = 1/3 (4q) = 4q/3\). Substitute \(G\) into the equation for B: \(B = 4G = 4 (4q/3) = 16q/3\).
