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 $764 and the average amount of money collected became $86. 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 |
86 |
Total Value |
108 u + 764 |
86 u + 1204 |
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
= 86 x (1 u + 14)
= 86 u + 1204
108 u + 764 = 86 u + 1204
108 u - 86 u = 1204 - 764
22 u = 440
1 u = 440 ÷ 22 = 20
Number of students in the end
= 1 u + 14
= 20 + 14
= 34
Answer(s): 34