Asher, Pierre and Brandon had a total of 590 stamps at first. After a week, the number of Asher's stamps became 4 times the number of stamps he had at first. The number of Pierre's stamps decreased by 86. Brandon had one-quarter as many stamps as he had at first. In the end, the three boys had the same number of stamps.
- How many stamps did Brandon have at first?
- What was the total number of stamps that the three boys had in the end?
|
Asher |
Pierre |
Brandon |
Total |
Before |
1 u |
4 u + 86 |
16 u |
|
Change |
x 4 |
- 86 |
x 14 |
|
After |
4 u |
4 u |
4 u |
12 u |
(a)
Total number of stamps at first
=
1 u + 4 u + 86 + 16 u
= 21 u + 86
21 u + 86 = 59021 u = 590 - 8621 u = 504
1 u = 504 ÷ 21 = 24 Number of stamps that Brandon had at first
= 4 u ÷
14= 4 u x
41= 16 u = 16 x 24 = 384(b)Total number of stamps that the three boys had at the end = 12 u = 12 x 24 = 288 Answer(s): (a) 384; (b) 288