The average amount of money collected by a group of pupils at a flag day event was $101. When another 14 pupils turned up to help, the total amount donated increased by $544 and the average amount of money collected became $86. How many pupils were there in the group in the end?
|
Number of pupils at first |
Number of pupils in the end |
Number |
1 u |
1 u + 14 |
Value |
101 |
86 |
Total Value |
101 u + 544 |
86 u + 1204 |
Number of pupils at first = 1 u
Total amount collected by the pupils at first
= 1 u x 101
= 101 u
Total amount collected by the pupils in the end
= 86 x (1 u + 14)
= 86 u + 1204
101 u + 544 = 86 u + 1204
101 u - 86 u = 1204 - 544
15 u = 660
1 u = 660 ÷ 15 = 44
Number of pupils in the end
= 1 u + 14
= 44 + 14
= 58
Answer(s): 58