Tom, Billy and Glen had a total of 419 stamps at first. After a week, the number of Tom's stamps became 5 times the number of stamps he had at first. The number of Billy's stamps decreased by 81. Glen 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 Glen have at first?
- What was the total number of stamps that the three boys had in the end?
|
Tom |
Billy |
Glen |
Total |
Before |
1 u |
5 u + 81 |
20 u |
|
Change |
x 5 |
- 81 |
x 14 |
|
After |
5 u |
5 u |
5 u |
15 u |
(a)
Total number of stamps at first
=
1 u + 5 u + 81 + 20 u
= 26 u + 81
26 u + 81 = 41926 u = 419 - 8126 u = 338
1 u = 338 ÷ 26 = 13 Number of stamps that Glen had at first
= 5 u ÷
14= 5 u x
41= 20 u = 20 x 13 = 260(b)Total number of stamps that the three boys had at the end = 15 u = 15 x 13 = 195 Answer(s): (a) 260; (b) 195