Question

Arthur is organising his DVDs he has 144 together the ratio of comedy films to action and horror is 4:7:5 how many of each types of DVDs does he have

Answer 1

36 comedy dvd's, 63 action dvd's and 45 horror dvd's

Explanation:

To know the amount of each type of DVD Arthur has, we need to sum the values of the ratios, and then multiply the total value of dvd's by the fraction that represents each amount of DVD:

4 + 7 + 5 = 16

Fraction of comedy DVD's: 4/16

Fraction of action DVD's: 7/16

Fraction of horror DVD's: 5/16

Then, we multiply these fractions by the total number of DVD's:

Number of comedy DVD's: 144 * 4/16 = 36

Number of action DVD's: 144 * 7/16 = 63

Number of horror DVD's: 144 * 5/16 = 45

Answer 2

There are 36 comedy films, 63 action films and 45 horror films.

Explanation:

Ratio of comedy films to action and horror is 4:7:5

This means that for each 4+7+5 = 16 movies

4 are of comedy

7 are of action

5 are of horror

Out of 144

4 comedy - 16 movies

x comedy - 144 movies

`16x = \frac{144*4}`

`x = (144*4)/(16)`

`x = 36`

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7 action - 16 movies

x action - 144 movies

`16x = \frac{144*7}`

`x = (144*7)/(16)`

`x = 63`

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5 horror - 16 movies

x horror - 144 movies

`16x = \frac{144*5}`

`x = (144*5)/(16)`

`x = 45`

There are 36 comedy films, 63 action films and 45 horror films.