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? (simplify your answer.)

Explanation:

Step1: Identify the number who watched both Survivor and America’s Got Talent (including those who also watched The Voice)

We know that 202 watched Survivor and America’s Got Talent (this includes those who also watched The Voice).

Step2: Subtract the number who watched all three shows

The number who watched all three shows (Survivor, The Voice, and America’s Got Talent) is 68. To find the number who watched Survivor and America’s Got Talent but not The Voice, we subtract the number who watched all three from the number who watched Survivor and America’s Got Talent. So we calculate \(202 - 68\).
\(202-68 = 134\)

Answer:

134