The average amount of money collected by a group of students at a flag day event was $113. When another 14 students turned up to help, the total amount donated increased by $892 and the average amount of money collected became $90. 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 |
113 |
90 |
Total Value |
113 u + 892 |
90 u + 1260 |
Number of students at first = 1 u
Total amount collected by the students at first
= 1 u x 113
= 113 u
Total amount collected by the students in the end
= 90 x (1 u + 14)
= 90 u + 1260
113 u + 892 = 90 u + 1260
113 u - 90 u = 1260 - 892
23 u = 368
1 u = 368 ÷ 23 = 16
Number of students at first
= 1 u
= 16
Answer(s): 16