The average amount of money collected by a group of students at a flag day event was $105. When another 14 students turned up to help, the total amount donated increased by $895 and the average amount of money collected became $82. 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 + 14 |
| Value |
105 |
82 |
| Total Value |
105 u + 895 |
82 u + 1148 |
Number of students at first = 1 u
Total amount collected by the students at first
= 1 u x 105
= 105 u
Total amount collected by the students in the end
= 82 x (1 u + 14)
= 82 u + 1148
105 u + 895 = 82 u + 1148
105 u - 82 u = 1148 - 895
23 u = 253
1 u = 253 ÷ 23 = 11
Number of students at first
= 1 u
= 11
Answer(s): 11
