Question

Half the books you won are mysteries. One third are historical fiction. The other four books are science fiction. How many of your books are mysteries?

Answer 1

Answer:

12

Step-by-step explanation:

1/2x + 1/3x + 4 = total

3/6x + 2/6x + 4 = total

5/6x + 4 = total

x = 1/6x = 4

x = 24

Mysteries = 24/2 = 12

Answer 2

Answer:

12 books

Step-by-step explanation:

We can discover the answer through some simple math.

First, we need to make sure we have all our values.

1/2 mysteries

1/3 Historical fiction

6 Science fiction

Then, we need to change all fractions to the same denominator.

1/2 = 3/6

1/3 = 2/6

Then we figure out what is left.

6/6 - 5/6 = 1/6

Then we can figure out our answer with this information.

1/6 = 4, so 1/2 (the number of mysteries) = 12