SOLUTION: An automobile dealer has 200 new cars on his lot. 90 cars have automatic transmissions, 60 cars have air conditioning and 40 have both. How many cars DO NOT have either automatic

Algebra.Com
Question 1173156: An automobile dealer has 200 new cars on his lot. 90 cars have automatic
transmissions, 60 cars have air conditioning and 40 have both. How many cars
DO NOT have either automatic transmissions or air conditioning?
Found 2 solutions by ikleyn, Boreal:
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

The number of cars that have at least one of the listed features is


    90 + 60 - 40 = 110.    (*)


The rest,  200 - 110 = 90 cars HAVE NO any of the two listed features.    ANSWER


Explanation


    In formula (*), you add the numbers 90 and 60 due to obvious reason.

    You then subtract the number of 40, BECAUSE you count these 40 cars TWICE, when you add 90 and 60.

Solved.

-------------

To see many other similar solved problems,  see the lesson
    - Counting elements in sub-sets of a given finite set
in this site.



Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
40 have both AC and AT
so 50 more have AT alone
and 20 more have AC alone
That is 110 cars
The rest do not have either: There are 90 without either.
RELATED QUESTIONS

Car Sales: Of the cars sold during the month of July, 90 had air conditioning, 100 had... (answered by robertb)
A car dealership has 556 new cars on its lot. 133 of the cars are black, 401 have an... (answered by josmiceli)
Please help me solve the following probability. Of the cars on a used car lot, 65%... (answered by Boreal)
When Bert and Ernie merged their automobile dealerships, Bert had 10 more cars than... (answered by josmiceli)
new buyer has the choice of 4 body styles, 3 different engines, and 10 colours. If a... (answered by josmiceli)
3. Happy Harold’s Autos collected data on cars sold in October. 43 Total number of... (answered by ikleyn,MathTherapy)
69% of new cars purchased in Australia have automatic transmission. Find the probability... (answered by Boreal)
The sales Manager of an Automobile dealer estimated 80% of the new cars delivered by them (answered by edjones)
The sales Manager of an Automobile dealer estimated 80% of the new cars delivered by them (answered by edjones)