The average amount of money collected by a group of students at a flag day event was $109. When another 14 students turned up to help, the total amount donated increased by $928 and the average amount of money collected became $83. 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 |
109 |
83 |
| Total Value |
109 u + 928 |
83 u + 1162 |
Number of students at first = 1 u
Total amount collected by the students at first
= 1 u x 109
= 109 u
Total amount collected by the students in the end
= 83 x (1 u + 14)
= 83 u + 1162
109 u + 928 = 83 u + 1162
109 u - 83 u = 1162 - 928
26 u = 234
1 u = 234 ÷ 26 = 9
Number of students at first
= 1 u
= 9
Answer(s): 9
