Help with Problem solving

Question

A group is traveling to New York City to
visit 3 museums. Everyone wants to see
at least 1 museum, and 2/3 plan to see at
least 2. Five choose only MoMA, and 1/5
choose only MoMath. One-third choose
MoMath and MoMA, 1/4 choose the Met
and MoMA, and 1/4 choose the Met and
MoMath. If fewer than 100 people make
the trip, how many will visit the Met?

Answer 1

are you positive that all the details are exactly correct? The answer, if the numbers above are exact, should be a multiple of 4, 5 and 3, or 60. However as listed the totals do not add up. Dorene O.