If tickets cost 12 dollars for students and 18 for adults and 162 dollars is collected from 12 people how many adults and students are in the group

Answer 1

S = Number of students

A = Number of adults

12 $ * S + 18 $ * A = 162 $

OR

12 S + 18 A = 162

S + A = 12

A = 12 - S

12 S + 18 A = 162

12 S + 18 ( 12 - S ) = 162

12 S + 18 * 12 - 18 * S = 162

12 S + 216 - 18 S = 162

12 S - 18 S = 162 - 216

- 6 S = - 54 Divide both sides by - 6

S = - 54 / - 6 = 9

A = 12 - S = 12 - 9 = 3

9 students an 3 adults

Proof :

9 * 12 $ + 3 * 18 $ = 108 $ + 54 $ = 162 $

Answer 2

3 adults and 9 students