Question

Solve the following problems using ven diagram

1 The 150 Grade 7 students participated in schools Math Olympics 64 students
registered in Math Trail, 78 students registered in Amazing Race and 28
students registered in both Math Trai and Amazing Race How many students
registered in Math Trall only and in Amazing Race only? Are there students
who did not registered in both events, how many? need na po ng answer please​

Answer 1

`36` students registered in Math Trail only,
`50` students registered in Amazing Race only and
`36` students who did not registered in both events.

We have according to question

Total number of students
`=150`

Number of students in Math Trail
`=64`

Number of students in Amazing Race
`=78`

Number of students registered in both
`=28`

To find: Number of students registered in Math Trail only and in Amazing Race only. And number of students who did not registered in both events.

Now, Number of students registered in Math Trail only

`=64-28\\=36`

Number of students registered in Amazing Race only

`=78-28\\=50`

Number of students who did not registered in both events

`=56+78-28\\=114\\150-114=36`

Therefore
`36` students registered in Math Trail only,
`50` students registered in Amazing Race only and
`36` students who did not registered in both events.