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In a town of 2000 families 1200 have cars and 1300 have bicycles. What is the least number of families that have cars and bicycles?.

thank you in advance :wink:
 
Hello, americo74!

In a town of 2000 families 1200 have cars and 1300 have bicycles.
What is the least number of families that have cars and bicycles?
You can baby-talk through this one . . .

\(\displaystyle 1200\) families have cars.
\(\displaystyle 1300\) families have bicycles.

Adding them we have: .\(\displaystyle 1200\,+\,1300\:=\:2500\) families.

Since there are only 2000 families in the town,
. . there must be an "overlap" of at least \(\displaystyle 500\) families.

[If there are townspeople who own <u>neither</u> a car nor a bicycle,
. . the overlap is even larger.]
 
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