On a particularly busy day at DisneyWorld, 519 people are queried as to their activities regarding the Jungle Cruise (JC), the Haunted Mansion (HM), and Treasure Island(TI). Of the queried, 240 went on JC, 258 went into HM, 234 went to TI, 79 went to both JC and HM, 103 went to both HM and TI, 89 went to both JC and TI, and 32 went to all three.
1) What fraction of the people who went to HM and on the JC did not go to TI?

Question

On a particularly busy day at DisneyWorld, 519   people are queried as to their activities regarding the Jungle Cruise (JC), the Haunted Mansion (HM), and Treasure Island(TI).   Of the queried, 240   went on JC, 258   went into HM, 234   went to TI, 79   went to both JC and HM, 103   went to both HM and TI, 89   went to both JC and TI, and   32   went to all three.
1) What fraction of the people who went to HM and on the JC did not go to TI?

anonymous · Answer

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anonymous · Answer

somehow my answer is $$\frac{ 47 }{ 74 }$$ but the book's answer is $$\frac{ 47 }{ 79}$$ where the 79 come from?