MATH PROBLEM HELP

Question

In a survey of 375 individual investors regarding subscriptions to the New York Times (NYT), Wall Street Journal (WSJ), and USA Today (UST), the following data were obtained.
124 subscribe to the NYT.
151 subscribe to the WSJ.
70 subscribe to the UST.
39 subscribe to the NYT and WSJ.
25 subscribe to the WSJ and UST.
22 subscribe to the NYT and UST.
103 do not subscribe to any of these newspapers.
(a) How many of the individual investors surveyed subscribe to all three newspapers?


(b) How many subscribe to only one of these newspapers?

Answer 1

draw a Venn diagram with 3 overlapping circles inside a rectangle

numbers inside the 3 circles sum to 375-10= 365 who subscribe to at least 1 of the 3 newspapers

yet 124+151+70 = only 345 which double counts the overlapping areas

some problem with the problem, mis-copied numbers or misprinted. No solution possible