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Bunuel
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Here's my 2 cents on this:
1. to have min #sedans with AT => you need to max #sedans with no AT.
2. Total No AT cars = Total - #AT cars = 20 => all of these should be sedans
3. Then you have your min #sedans with AT = 36-20 = 16
4. Your min ratio = 16/68 = 4/17
Hope it is clear and helpful ;)
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Bunuel
There are 68 cars on a parking lot. If 36 of the cars are sedans, and 48 of the cars have automatic transmissions, what is the ratio of the minimum possible number of sedans with automatic transmissions to the number of cars in the parking lot?

A. 3:17
B. 4:17
C. 5:17
D. 6:17
E. 4:19

We can create the equation:

68 = 36 + 48 - both + neither

We need to minimize “both.”

SImplifying we have:

68 = 84 - both + neither

Both - neither = 16

So to minimize “both,” we make neither 0, so both = 16.

Thus, the ratio is:

16/68 = 8/34 = 4/17

Answer: B
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