The average amount of money collected by a group of students at a flag day event was $108. When another 12 students turned up to help, the total amount donated increased by $596 and the average amount of money collected became $80. How many students were there in the group at first?
| |
Number of students
at first |
Number of students
in the end |
| Number |
1 u |
1 u + 12 |
| Value |
108 |
80 |
| Total Value |
108 u + 596 |
80 u + 960 |
Number of students at first = 1 u
Total amount collected by the students at first
= 1 u x 108
= 108 u
Total amount collected by the students in the end
= 80 x (1 u + 12)
= 80 u + 960
108 u + 596 = 80 u + 960
108 u - 80 u = 960 - 596
28 u = 364
1 u = 364 ÷ 28 = 13
Number of students at first
= 1 u
= 13
Answer(s): 13
