Bobby, Julian and Luis had a total of 418 stamps at first. After a week, the number of Bobby's stamps became 4 times the number of stamps he had at first. The number of Julian's stamps decreased by 171. Luis 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 Luis have at first?
- What was the total number of stamps that the three boys had in the end?
|
Bobby |
Julian |
Luis |
Total |
Before |
1 u |
4 u + 171 |
8 u |
|
Change |
x 4 |
- 171 |
x 12 |
|
After |
4 u |
4 u |
4 u |
12 u |
(a)
Total number of stamps at first
=
1 u + 4 u + 171 + 8 u
= 13 u + 171
13 u + 171 = 41813 u = 418 - 17113 u = 247
1 u = 247 ÷ 13 = 19 Number of stamps that Luis had at first
= 4 u ÷
12= 4 u x
21= 8 u = 8 x 19 = 152(b)Total number of stamps that the three boys had at the end = 12 u = 12 x 19 = 228 Answer(s): (a) 152; (b) 228