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?

Question: 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?

Solution:
Given that,
Red cars = 4q
∴ Green cars = (1/3) of red
= (1/3) × 4q
= 4q/3
∴ Blue cars = 4 times green
= 4 × (4q/3)
= 16q/3
So, number of blue cars = 16q/3.