SAT Problem Solving and Data Analysis practice question

A survey of households in a city categorized households by the number of cars they have. The ratio of households with exactly two cars to households with exactly one car was 5 to 3. The ratio of households with exactly one car to households with no cars was 2 to 1. If the total number of cars among all the surveyed households was 78,000, how many households had no cars? (Assume no household had more than two cars.)