Turkish wrote:
Q (total)
/ \
1Q/4 3Q/4
3Q/4 * 40/100 =3Q/10 were asked, at what time do they get up in the morning. So 7Q/10 were not asked. the number of people who do not eat after 22:00 and were not asked about the time they get up in the morning will be 7Q/10+ 3/4Q = 19Q/20
Actually, \(\frac{7Q}{10}\) persons
already included into \(\frac{3Q}{4}\) persons(already overlapped the quantity).So the highlighted calculations made no sence here.
Please correct me if I miss any point here
IMO ,
The Number of people eat after 22:00=\(\frac{25Q}{100}\)=\(\frac{Q}{4}\),So the number of people DO NOT eat after 22:00=Q-\(\frac{Q}{4}\)=\(\frac{3Q}{4}\)
Accordingly,The number of people were asked, at what time do they get up in the morning= \(\frac{3Q}{4}\)*\(\frac{40}{100}\)=\(\frac{3Q}{10}\)
The Number of people
eat after 22:00 and The number of people
were asked about the time they get up in the morning=\(\frac{Q}{4}\)+\(\frac{3Q}{10}\)=\(\frac{11Q}{20}\)
So,Finally the number of people who
do not eat after 22:00 and
were not asked about the time they get up in the morning=Q-\(\frac{11Q}{20}\)=\(\frac{9Q}{20}\)
Correct Answer E
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