The average amount of money collected by a group of students at a flag day event was $116. When another 14 students turned up to help, the total amount donated increased by $760 and the average amount of money collected became $84. 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 |
116 |
84 |
Total Value |
116 u + 760 |
84 u + 1176 |
Number of students at first = 1 u
Total amount collected by the students at first
= 1 u x 116
= 116 u
Total amount collected by the students in the end
= 84 x (1 u + 14)
= 84 u + 1176
116 u + 760 = 84 u + 1176
116 u - 84 u = 1176 - 760
32 u = 416
1 u = 416 ÷ 32 = 13
Number of students in the end
= 1 u + 14
= 13 + 14
= 27
Answer(s): 27