Daniel, Glen and John had a total of 555 stamps at first. After a week, the number of Daniel's stamps became 5 times the number of stamps he had at first. The number of Glen's stamps decreased by 235. John 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 John have at first?
- What was the total number of stamps that the three boys had in the end?
|
Daniel |
Glen |
John |
Total |
Before |
1 u |
5 u + 235 |
10 u |
|
Change |
x 5 |
- 235 |
x 12 |
|
After |
5 u |
5 u |
5 u |
15 u |
(a)
Total number of stamps at first
=
1 u + 5 u + 235 + 10 u
= 16 u + 235
16 u + 235 = 55516 u = 555 - 23516 u = 320
1 u = 320 ÷ 16 = 20 Number of stamps that John had at first
= 5 u ÷
12= 5 u x
21= 10 u = 10 x 20 = 200(b)Total number of stamps that the three boys had at the end = 15 u = 15 x 20 = 300 Answer(s): (a) 200; (b) 300