Oscar, Michael and Ken had a total of 346 stamps at first. After a week, the number of Oscar's stamps became 3 times the number of stamps he had at first. The number of Michael's stamps decreased by 126. Ken had half as many stamps as he had at first. In the end, the three boys had the same number of stamps.
- How many stamps did Ken have at first?
- What was the total number of stamps that the three boys had in the end?
|
Oscar |
Michael |
Ken |
Total |
Before |
1 u |
3 u + 126 |
6 u |
|
Change |
x 3 |
- 126 |
x 12 |
|
After |
3 u |
3 u |
3 u |
9 u |
(a)
Total number of stamps at first
=
1 u + 3 u + 126 + 6 u
= 10 u + 126
10 u + 126 = 34610 u = 346 - 12610 u = 220
1 u = 220 ÷ 10 = 22 Number of stamps that Ken had at first
= 3 u ÷
12= 3 u x
21= 6 u = 6 x 22 = 132(b)Total number of stamps that the three boys had at the end = 9 u = 9 x 22 = 198 Answer(s): (a) 132; (b) 198