Question

The number of students attending the fall play was 150 fewer then 3 times the number of adults. Together, students and adults purchased 1778 tickets.How many students attended the fall play?

Answer 1

Number of students attended the fall play
`=1296`

Explanation:

Let number of adults
`=x`

Number of students
`=3* number\ of\ adults-150=3x-150`

Given that total number of tickets
`=1778`

Number of students+ Number of adults
`=1778`

`x+(3x-150)=1778\\4x-150=1778\\4x=1778+150\\4x=1928\\x=(1928)/(4)\\x=482`

Number of adults
`=482`

Number of students
`=3x-150=3*482-150=1446-150=1296`

Number of students
`=1296`