Ryan, Zane and Oliver had a total of 397 stamps at first. After a week, the number of Ryan's stamps became 4 times the number of stamps he had at first. The number of Zane's stamps decreased by 85. Oliver 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 Oliver have at first?
- What was the total number of stamps that the three boys had in the end?
|
Ryan |
Zane |
Oliver |
Total |
Before |
1 u |
4 u + 85 |
8 u |
|
Change |
x 4 |
- 85 |
x 12 |
|
After |
4 u |
4 u |
4 u |
12 u |
(a)
Total number of stamps at first
=
1 u + 4 u + 85 + 8 u
= 13 u + 85
13 u + 85 = 39713 u = 397 - 8513 u = 312
1 u = 312 ÷ 13 = 24 Number of stamps that Oliver had at first
= 4 u ÷
12= 4 u x
21= 8 u = 8 x 24 = 192(b)Total number of stamps that the three boys had at the end = 12 u = 12 x 24 = 288 Answer(s): (a) 192; (b) 288