In a group of 400 readers who read science fiction or literacy works or both, 250 read science ...

In a group of 400 readers who read science fiction or literacy works or both, 250 read science fiction and 230 read literacy works. How many read both science fiction and literacy works?

Quiz

Answer/Solution

80

Steps/Work

Consider total number of reader n(S U L) = 400
People who read science fiction n(S) = 250
People who read literacy works n(L) = 230
both science fiction and literacy n(S ∩ L) = ?
n(S U L) = n(S)+ n(L) - n(S ∩ L)
400 = 250 + 230 - n(S ∩ L)
n(S ∩ L) = 480 - 400
n(S ∩ L) = 80
SO People read both science fiction and literacy works are 80
ANSWER:B

Other Calculator / Auto Solver

In a group of readers who read science fiction or literacy works or both, read science fiction and read literacy works. How many read both science fiction and literacy works?

Calculated Answer

80

Step by Step Solution

In order to solve problem, you must evaluate n1 + n2 - n0.

n0 =400
n1 =250
n2 =230