A Venn diagram is a good way to visualize these kind of problems, but if you get more familiar with the concept and how you can manipulate the numbers, it will be way easier than drawing out a Venn diagram. Out of all 100 people, 8 people liked both non fiction and fiction. Then, it tells us three times as many people like fiction over nonfiction. Consider nonfiction to be *x*.

3*x* like fiction and* x* and non fiction. We also have to look at the 8 people who like both. They are included in the people who like fiction and non fiction. In order to get an accurate response... you have to do the subtract the 8 out of the total.

FICTION - 8 + NONFICTION - 8 + 8 = TOTAL

3x - 8 + x - 8 + 8 = 100

4x - 8 = 100

4x = 108

x = 27

Since we said *x *was non-fiction, 27 people reported liking non-fiction.