The average amount of money collected by a group of students at a flag day event was $114. When another 14 students turned up to help, the total amount donated increased by $745 and the average amount of money collected became $77. 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 |
114 |
77 |
Total Value |
114 u + 745 |
77 u + 1078 |
Number of students at first = 1 u
Total amount collected by the students at first
= 1 u x 114
= 114 u
Total amount collected by the students in the end
= 77 x (1 u + 14)
= 77 u + 1078
114 u + 745 = 77 u + 1078
114 u - 77 u = 1078 - 745
37 u = 333
1 u = 333 ÷ 37 = 9
Number of students in the end
= 1 u + 14
= 9 + 14
= 23
Answer(s): 23