The average amount of money collected by a group of students at a flag day event was $103. When another 13 students turned up to help, the total amount donated increased by $859 and the average amount of money collected became $88. 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 + 13 |
Value |
103 |
88 |
Total Value |
103 u + 859 |
88 u + 1144 |
Number of students at first = 1 u
Total amount collected by the students at first
= 1 u x 103
= 103 u
Total amount collected by the students in the end
= 88 x (1 u + 13)
= 88 u + 1144
103 u + 859 = 88 u + 1144
103 u - 88 u = 1144 - 859
15 u = 285
1 u = 285 ÷ 15 = 19
Number of students in the end
= 1 u + 13
= 19 + 13
= 32
Answer(s): 32