A car line production number for a year are as follows....

Question

334,728 Nova were produced in one year. (either 2 or 4 door, hatchback or coupe or sedan, 6 cyl. or 8 cyl engines)

 15,030 Novas had a 350 V8 engine

  7,866 of Novas were hatchback models

  7,416 of Novas were SS models

How many Novas were both Hatchback and had a 350 V8 engine?

Comments

What are SS models? Not defined in question.

Answer 1

This tentative solution is based on assumptions which may or may not be valid. No further information is obtainable from the question.

Assume SS (coupe) (C) are all 2-door 6-cylinder vehicles, C=7416.

Assume all sedans (2- and 4-door) have 6- or 8-cylinder engines (represented by S=S₆+S₈).

Hatchbacks (3- and 5-door) have 6- or 8-cylinder engines (represented by H=H₆+H₈=7866).

Number of vehicles with 6-cylinder engines=334728-15030=319698.

Assume total vehicles C+H+S=334728, so S=334728-7416-7866=319446.

S₆+S₈=319446.

S₈+H₈=15030, and H₈≤7866, so S₈≥7164.

S₆+H₆=319698-7416=312282.

Therefore, the number of hatchbacks with V8 engines must be in the range [0,7866], corresponding to [15030,7164] for sedans with V8 engines.