SOLUTION: In a Swiss village there are 33 families. Each family owns at least 1 car, but none of them own more than 3 cars. Knowing that the number of famlies who own 1 car is the same as th

Question 856225: In a Swiss village there are 33 families. Each family owns at least 1 car, but none of them own more than 3 cars. Knowing that the number of famlies who own 1 car is the same as the number of families who own 3, how many cars are there in the village? I really don't get this equation. My friend said the answer is 33 cars, however i really don't think this is right, and if it is I don't get how u come to such answer! Please let me know! thankss :)
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
We know the number of cars is between 33 (one car for each family) and 99 (3 cars for each family).
It can't be 33 since one car families (o) equals three car families (t)
33 cars total means zero families own three
Remember each family owns at least one.
o=t
f=33
The problems doesn't say how many own two cars.
16 own 1 16 own 3 and one owns 2. 33 families
15*1+15*3+3*2 =66
14*1+14*3+5*2 =66
13*1+13*3+7*2=66
12*1+12*3+9*2=66
11*1+11*3+11*2= 66 my favorite
10*1 +10*3+13*2=66
9*1+9*3+15*2 =66
It appears that the total is always 66

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