Question

A group of 200 adults were asked whether they exercise and whether they are vegetarian. Their responses are summarized in the following table

Answer 1

A.) What percentage of the adults exercise?

Total number of adults = 200

Adults that exercise = 35 + 77 = 112

`\text{ \%}_(ECERCISE)=\text{ }\frac{\text{ No. of adults that exercise}}{\text{ Total no. of adults}}\text{ x 100}`
`\text{ = }\frac{\text{ 112}}{\text{ 200}}\text{ x 100}`
`\text{ = 0.56 x 100}`
`\text{ \%}_(EXERCISE)\text{ = 56\%}`

Therefore, 56% of adults exercise.

B.) What percentage of the adults are not vegetarian?

No, of not vegetarian adults = 77 + 63 = 140

`\text{ \%}_{NOT\text{ }VEGETARIAN}\text{ = }\frac{\text{ No. of not vegetarian adults}}{\text{ Total no. of adults}}\text{ x 100}`
`\text{ = }(140)/(200)\text{ x 100}`
`=\text{ 0.7 x 100}`
`\text{ \%}_{NOT\text{ VEGETARIAN}}\text{ = 70\%}`

Therefore, 70% of the adults are not vegetarian.

C.) What percentage of the adults who are not vegetarian exercise?

No. of not vegetarian that exercise = 77

`\text{ \%}_{NOT\text{ VEGETARIAN THAT EXERCISE}}\text{ = }\frac{\text{ No. of not vegetarian adults that exercise}}{\text{ Total no. of adults}}\text{ x 100}`
`\text{ = }(77)/(200)\text{ x 100}`
`\text{ = 0.385 x 100}`
`\text{ \% = 38.50\%}`

Therefore, there are 38.50% of adults who are not vegetarian exercise.