The average amount of money collected by a group of students at a flag day event was $108. When another 14 students turned up to help, the total amount donated increased by $707 and the average amount of money collected became $85. How many students were there in the group in the end?
| |
Number of students
at first |
Number of students
in the end |
| Number |
1 u |
1 u + 14 |
| Value |
108 |
85 |
| Total Value |
108 u + 707 |
85 u + 1190 |
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
= 85 x (1 u + 14)
= 85 u + 1190
108 u + 707 = 85 u + 1190
108 u - 85 u = 1190 - 707
23 u = 483
1 u = 483 ÷ 23 = 21
Number of students in the end
= 1 u + 14
= 21 + 14
= 35
Answer(s): 35
