Brandon, Julian and Ken had a total of 360 stamps at first. After a week, the number of Brandon's stamps became 4 times the number of stamps he had at first. The number of Julian's stamps decreased by 165. 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?
|
Brandon |
Julian |
Ken |
Total |
Before |
1 u |
4 u + 165 |
8 u |
|
Change |
x 4 |
- 165 |
x 12 |
|
After |
4 u |
4 u |
4 u |
12 u |
(a)
Total number of stamps at first
=
1 u + 4 u + 165 + 8 u
= 13 u + 165
13 u + 165 = 36013 u = 360 - 16513 u = 195
1 u = 195 ÷ 13 = 15 Number of stamps that Ken had at first
= 4 u ÷
12= 4 u x
21= 8 u = 8 x 15 = 120(b)Total number of stamps that the three boys had at the end = 12 u = 12 x 15 = 180 Answer(s): (a) 120; (b) 180