Asked by Joel Sue
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
Answers
Answered by
Bosnian
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 $
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 $
Answered by
Mystery
3 adults and 9 students
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