Automobiles A used-car dealer must complete an inventory of the cars on his lot. He notes...

Automobiles A used-car dealer must complete an inventory of the cars on his lot. He notes that he has 22 compact, two-door, standard-transmission cars. Of the 50 standard-transmission cars on the lot, 28 are classified as compact, while 30 are two-door. Also, of the 47 two-door cars on the lot, 31 are classified as compact. The dealer also notes that he has 44 compact cars on his lot and 15 large, four-door, automatic-transmission cars.

a. How many cars are there on the lot altogether?

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b. How many compact cars have standard transmission, but are not the two-door type?

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c. How many of the two-door cars with standard transmission are not compact?

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d. How many of the standard-transmission cars are not compact?