Question

A survey of recent graduates regarding the literature that they studied during their high school career yielded the following information: 527 read Gone with the Wind, 637 read Moby D, 947 read Lord of the Flies, 145 read all three, 35 read none, 105 read-only Moby D, 173 read Moby D and Gone with the Wind, and 203 read Gone with the Wind and Lord of the Flies, but not Moby D. What percent of recent graduates read exactly one book?

Answer 1

To find the percentage of recent graduates who read exactly one book, we need to add up the number of graduates who read each book individually without overlapping.

Let's calculate the number of graduates who read each book individually:

Number of graduates who read Gone with the Wind only = Total graduates who read Gone with the Wind - Graduates who read Gone with the Wind and other books

= 527 - 145 - 173 + 203

= 412

Number of graduates who read Moby D only = Total graduates who read Moby D - Graduates who read Moby D and other books

= 637 - 145 - 173 + 105

= 424

Number of graduates who read Lord of the Flies only = Total graduates who read Lord of the Flies - Graduates who read Lord of the Flies and other books

= 947 - 145 - 203 + 105

= 704

Now, let's calculate the total number of graduates who read exactly one book:

Total graduates who read exactly one book = Graduates who read Gone with the Wind only + Graduates who read Moby D only + Graduates who read Lord of the Flies only

= 412 + 424 + 704

= 1540

Finally, we can calculate the percentage:

Percentage of recent graduates who read exactly one book = (Number of graduates who read exactly one book / Total number of graduates) * 100

= (1540 / Total number of graduates) * 100

Explanation: