The average amount of money collected by a group of students at a flag day event was $106. When another 11 students turned up to help, the total amount donated increased by $526 and the average amount of money collected became $86. 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 + 11 |
Value |
106 |
86 |
Total Value |
106 u + 526 |
86 u + 946 |
Number of students at first = 1 u
Total amount collected by the students at first
= 1 u x 106
= 106 u
Total amount collected by the students in the end
= 86 x (1 u + 11)
= 86 u + 946
106 u + 526 = 86 u + 946
106 u - 86 u = 946 - 526
20 u = 420
1 u = 420 ÷ 20 = 21
Number of students in the end
= 1 u + 11
= 21 + 11
= 32
Answer(s): 32