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Darya [45]
3 years ago
7

In a class of 25 students, 15 of them have a cat,

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
7 0

Answer: 9/25

Step-by-step explanation:

Since 3 of them have neither a cat or a dog, that means 22 (25-3) of them have a dog, a cat, or both.

16 + 15 = 31, which is 9 more than 22. That means 9 of them have both a dog and a cat.

Out of the 25 people, 9 have both a cat and dog, which means the probablity a student chosen at random has both is 9/25.

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When you divide a fraction by another fraction, it is the same thing as multiplying that fraction by its reciprocal.

The reciprocal is the 'flipped' version of a fraction where the numerator becomes the denominator and the denominator becomes the numerator.

for example, the reciprocal of 9/10 is 10/9

Knowing this information 4/5÷9/10 is the same as 4/5×10/9

Now we can solve...

\frac{4}{5} * \frac{10}{9} = \frac{40}{45} = \frac{8}{9}

Answer= 8/9

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