The average amount of money collected by a group of students at a flag day event was $107. When another 9 students turned up to help, the total amount donated increased by $526 and the average amount of money collected became $84. 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 + 9 |
Value |
107 |
84 |
Total Value |
107 u + 526 |
84 u + 756 |
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
= 84 x (1 u + 9)
= 84 u + 756
107 u + 526 = 84 u + 756
107 u - 84 u = 756 - 526
23 u = 230
1 u = 230 ÷ 23 = 10
Number of students at first
= 1 u
= 10
Answer(s): 10