Question

a magazine surveyed subscribers, asking which of the following reality shows they watched on a regular basis survivor, the voice, americas got talent. the results showed that 358 watched survivor, 295 watched the voice, 285 watched americas got talent, 194 watched survivor and the voice, 202 watched survivor and americas got talent, 139 watched the voice and americas got talent, 68 watched survivor, the voice, and americas got talent, and 27 watched none of these shows. complete parts a) through e) below.
a) how many subscribers were surveyed?
498 (simplify your answer.)
b) of the subscribers surveyed, how many watched survivor and americas got talent, but not the voice?
134 (simplify your answer.)
c) of the subscribers surveyed, how many watched the voice, but neither survivor nor americas got talent?
30 (simplify your answer.)
d) of the subscribers surveyed, how many watched exactly two of these shows?
\boxed{} (simplify your answer.)

Explanation:

Step1: Find number for each pair minus all three

For Survivor and The Voice only: $194 - 68 = 126$
For Survivor and America's Got Talent only: $202 - 68 = 134$ (already known, but used here)
For The Voice and America's Got Talent only: $139 - 68 = 71$

Step2: Sum the three only - two - show groups

Total exactly two shows: $126 + 134 + 71 = 331$

Answer:

331