Xavier, Luke and Justin had a total of 571 stamps at first. After a week, the number of Xavier's stamps became 3 times the number of stamps he had at first. The number of Luke's stamps decreased by 311. Justin 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 Justin have at first?
- What was the total number of stamps that the three boys had in the end?
|
Xavier |
Luke |
Justin |
Total |
Before |
1 u |
3 u + 311 |
6 u |
|
Change |
x 3 |
- 311 |
x 12 |
|
After |
3 u |
3 u |
3 u |
9 u |
(a)
Total number of stamps at first
=
1 u + 3 u + 311 + 6 u
= 10 u + 311
10 u + 311 = 57110 u = 571 - 31110 u = 260
1 u = 260 ÷ 10 = 26 Number of stamps that Justin had at first
= 3 u ÷
12= 3 u x
21= 6 u = 6 x 26 = 156(b)Total number of stamps that the three boys had at the end = 9 u = 9 x 26 = 234 Answer(s): (a) 156; (b) 234