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

Answer:

Number of students attended the fall play$=1296$

Step-by-step explanation:

Let number of adults$=x$

Number of students$=3\times number\ of\ adults-150=3x-150$

Given that total number of tickets$=1778$

Number of students+ Number of adults$=1778$

$x+(3x-150)=1778\\4x-150=1778\\4x=1778+150\\4x=1928\\x=\frac{1928}{4}\\x=482$

Number of adults$=482$

Number of students$=3x-150=3\times482-150=1446-150=1296$

Number of students$=1296$