gabrielle surveyed a random sample of 40 students in her school's cafeteria about whether they ate the cafeteria's tomato soup.
- 14 of the sample students said they did
- a total of 840 eat in the cafeteria everyday

Part A
based on the results of gabrielles survey, how many of the 840 students can be expected to eat the tomato soup?

Part B
isaiah and kaylee also surveyed random samples of 40 students about the tomato soup.
gabrielle - 14 of them did
isaiah - 10 of them did
kaylee - 11 of them did

based on the results of the three surveys what percentage of the 840 students can be expected to eat the tomato soup?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.

For the given situation,

Part A:

Survey by Gabriella,

Number of students got surveyed = 40

Number of students eat tomato soup = 14

Total number of students = 840

Based on survey, number of students eat tomato soup,

⇒ [tex]\frac{14}{40}[/tex] × [tex]840[/tex]

⇒ [tex]294[/tex]

Part B:

Survey by Gabriella,

Number of students got surveyed = 40

Number of students eat tomato soup = 14

Survey by Isaiah,

Number of students got surveyed = 40

Number of students eat tomato soup = 10

Survey by Kaylee,

Number of students got surveyed = 40

Number of students eat tomato soup = 11

Total number of students eat tomato soup = 35

Total number of students got surveyed = [tex]40+40+40[/tex]

⇒ [tex]120[/tex]

Total number of students = 840

Based on the survey, number of students eat tomato soup,

⇒ [tex]\frac{35}{120}[/tex] × [tex]840[/tex]

⇒ [tex]245[/tex]

Thus the percentage of the 840 students can be expected to eat the tomato soup = [tex]\frac{245}{840}[/tex] × [tex]100[/tex]

⇒ [tex]29.16\%[/tex]

Hence we can conclude that,

Part A:

Number of students eat tomato soup = 294.

Part B:

The percentage of the 840 students can be expected to eat the tomato soup is 29.16%.

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