There are 780 families and each has a car, radio, and TV. There are 6 kinds of cars, 2 kinds of radios, and 5 kinds of TV available. What is the least possible number of families that could have the same kind of car, radio, and TV?

Question

Mathematics

George

20 August, 22:34

There are 780 families and each has a car, radio, and TV. There are 6 kinds of cars, 2 kinds of radios, and 5 kinds of TV available. What is the least possible number of families that could have the same kind of car, radio, and TV?

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Answers (1)

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Natasha · Answer 1

The least possible number is 13

Step-by-step explanation:

Since there are 6 types of cars, 2 kinds of radios and 5 types of Tv, then, there are a total of 6*2*5 = 60 combinations.

Each family should have a Tv, can and radio matching one of this 60 combinations, and the best way to ensure that the number of families that have the same kind of car, radio and tv is the least as possible, we are better sharing each combination in equal parts, or at least almost equal.

Since there are 780 families and a total of 780 combinations, then, each combination should be used by a total of 780/60 0 13 families.