Sam, Charlie and Vincent had a total of 546 stickers at first. After a week, the number of Sam's stickers became 3 times the number of stickers he had at first. The number of Charlie's stickers decreased by 370. Vincent had one-quarter as many stickers as he had at first. In the end, the three boys had the same number of stickers.
- How many stickers did Vincent have at first?
- What was the total number of stickers that the three boys had in the end?
|
Sam |
Charlie |
Vincent |
Total |
Before |
1 u |
3 u + 370 |
12 u |
|
Change |
x 3 |
- 370 |
x 14 |
|
After |
3 u |
3 u |
3 u |
9 u |
(a)
Total number of stickers at first
=
1 u + 3 u + 370 + 12 u
= 16 u + 370
16 u + 370 = 54616 u = 546 - 37016 u = 176
1 u = 176 ÷ 16 = 11 Number of stickers that Vincent had at first
= 3 u ÷
14= 3 u x
41= 12 u = 12 x 11 = 132(b)Total number of stickers that the three boys had at the end = 9 u = 9 x 11 = 99 Answer(s): (a) 132; (b) 99