Asurvey was conducted to determine the popularity of 3 foods among students. the data collected from 75 students are summarized as below
48 like pizza
45 like hoagies
58 like tacos
28 like pizza and hoagies
37 like hoagies and tacos
40 like pizza and tacos
25 like all three food

The number of students who like none or only one of the foods is 20.

Step-by-step explanation:

Consider the provided information.

First draw the Venn diagram as shown below:

25 like all three food and 40 like pizza and tacos .

40-25=15 likes only pizza and tacos.

25 like all three food and 37 like hoagies and tacos

37-25=12 likes only hoagies and tacos

25 like all three food and 28 like pizza and hoagies

28-25 = 3 like only pizza and hoagies .

Let P represents Pizza, H represents Hoagies and T represents Tacos.

Only Pizza = P - (only P and H + only P and T + All 3 foods)

Only Pizza = 48 - (3+ 15 + 25) = 5

Only Hoagies = H - (only P and H +only H and T - All 3 foods)

Only Hoagies = 45 - (3 + 12 + 25) = 5

Only Tacos = T - (only P and T + only H and T - All 3 food)

Only Tacos = 58 - (15 + 12 + 25) = 6

Total number of students are 75.

Total number of student who don't like any of the food is:

Total=P+H+T−(sum of 2 group overlaps)+(all three)+Neither

75=48+45+58−(28+37+40)+25+Neither

75=176−(105)+Neither

Neither = 4

The number of students who like none or only one of the foods = 4 + (5 + 5 + 6) = 20.

Hence, the required answer is 20.

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6 hours 48 min

step-by-step explanation:

68÷5=13.6

13.6×30=408min=6 hours 48 min.

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