Ken and Sean collected some stickers. If Ken gave Sean 68 stickers, both would have an equal number of stickers. If Sean gave Ken 34 stickers, Ken would have 4 times as many stickers as Sean. Find the number of stickers each of them had.
- Ken?
- Sean?
| Case 1 |
Case 2 |
| Ken |
Sean |
Ken |
Sean |
| 5 u + 68 |
5 u - 68 |
8 u - 34 |
2 u + 34 |
| - 68 |
+ 68 |
+ 34 |
- 34 |
1x5 =
5 u |
1x5 =
5 u |
4x2 =
8 u |
1x2 =
2 u |
(a)
The total number of stamps remains unchanged in both cases. Make the total number of stickers the same. LCM of 2 and 5 is 10.
The number of stickers that Sean had at first is the same in both cases.
5 u - 68 = 2 u + 34
5 u - 2 u = 68 + 34
3 u = 102
1 u = 102 ÷ 3 = 34
Number of stickers that Ken had
= 5 u + 68
= 5 x 34 + 68
= 238
(b)
Number of stickers that Sean had
= 5 u - 68
= 5 x 34 - 68
= 102
Answer(s): (a) 238; (b) 102
