Question 1164388
A survey of 538 adults aged 18-24 year olds was conducted in which they were asked what they did last Friday night.  It found:

175 watched TV
180 hung out with friends
198 ate pizza
43 watched TV and ate pizza, but did not hang out with friends
43 watched TV and hung out with friends, but did not eat pizza
49 hung out with friends and ate pizza, but did not watch TV
33 watched TV, hung out with friends, and ate pizza
How may 18-24 year olds did not do any of these three activities last Friday night?
<pre>With P being the number that ate pizza, T being the number that watch TV, and F being the number that hung out with friends, we get the following Venn Diagram: *[illustration ADC_1164388_3.png].

With P = 198, {{{matrix(1,7, highlight(matrix(1,2, "P,", only)), "=", 198 - (43 + 33 + 49), "=", 198  -  125, "=", highlight(73))}}}

With T = 175, {{{matrix(1,7, highlight(matrix(1,2, "T,", only)), "=", 175 - (43 + 33 + 43), "=", 175 - 119, "=", highlight(56))}}}

With F = 180, {{{matrix(1,7, highlight(matrix(1,2, "F,", only)), "=", 180 - (43 + 33 + 49), "=", 180  -  125, "=", highlight(55))}}}

With 538 being surveyed, we get number that didn’t participate in any of the 3 activities as: {{{highlight_green(matrix(1,5, 538 - (73 + 43 + 33 + 49 + 56 + 43 + 55), "=", 538  -  352, "=", highlight(186)))}}}
*[illustration ADC_1164388_4.png].</pre>