Question

In a certain village of 1000 houses, 750 have a car, 800 have a refrigerator, 850 have a telephone and 950 have a radio. What is the least number of houses that have all four?

Answer 1

Answer on Question #42786 – Math - Discrete Mathematics

In a certain village of 1000 houses, 750 have a car, 800 have a refrigerator, 850 have a telephone and 950 have a radio. What is the least number of houses that have all four?

Solution:

Let's find the amount of houses that don't have at least something.

1000 – 750 = 250 houses that don't have cars.

1000 – 800 = 200 houses that don't have refrigerators.

1000 – 850 = 150 houses that don't have telephones.

1000 – 950 = 50 houses that don't have radios.

Now let's sum amount of these houses to find the amount of houses that don't have at least something.

250 + 200 + 150 + 50 = 650.

Now we will find the amount of houses that will have all four:

1000 – 650 = 350.

Answer 350.

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