The average amount of money collected by a group of students at a flag day event was $107. When another 14 students turned up to help, the total amount donated increased by $588 and the average amount of money collected became $81. 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 |
107 |
81 |
Total Value |
107 u + 588 |
81 u + 1134 |
Number of students at first = 1 u
Total amount collected by the students at first
= 1 u x 107
= 107 u
Total amount collected by the students in the end
= 81 x (1 u + 14)
= 81 u + 1134
107 u + 588 = 81 u + 1134
107 u - 81 u = 1134 - 588
26 u = 546
1 u = 546 ÷ 26 = 21
Number of students in the end
= 1 u + 14
= 21 + 14
= 35
Answer(s): 35