Brandon bought 48 more stamps than Howard and Howard bought 27 stamps more than Pamela. The total number of stamps Brandon and Howard bought was 4 times the number of stamps Pamela bought.
- How many stamps does Brandon need to give Howard so that they have the same number of stamps?
- How many stamps did all three of them have altogether?
Brandon |
Howard |
Pamela |
1 u + 27 + 48 |
1 u + 27 |
1 u |
4 u |
1 u |
(a)
Number of stamps that Brandon needs to give Howard so that they have same number of stamps
= 48 ÷ 2
= 24
(b)
Total number of stamps that Brandon and Howard had
= 1 u + 27 + 48 + 1 u + 27
= 1 u + 1 u + 27 + 48 + 27
= 2 u + 102
4 u = 2 u + 102
4 u - 2 u = 102
2 u = 102
1 u = 102 ÷ 2 = 51
Total number of stamps that all three of them had
= 4 u + 1 u
= 5 u
= 5 x 51
= 255
Answer(s): (a) 24; (b) 255