78.8k views
5 votes
Arthur is organising his collection of DVDs. He has 112 altogether.

The ratio of comedy films to
action to horror is 6 : 7 : 3
How many of each type of DVD does he have?
Comedy
Action
Horror


User Skrface
by
4.7k points

1 Answer

4 votes

Answer:

42 Comedy, 49 Action, 21 Horror

Explanation:

6 comedy : 7 action : 3 horror = 16 parts or if you think of it as a fraction, 16 is the denominator and the numbers for each ratios are the numerators

112 (the total)/16 = 7 movies per part

6 parts of comedy = 6 x 7 = 42

7 parts action = 7 x 7 =49

3 parts horror = 3 x 7 = 21

Another way to think of it is:

(ex. comedy)

6/16=x/112

(CROSS MULTIPLY HERE)

16x=672

x=42

User Chris Pettitt
by
5.3k points