Henry and Neave collected some stickers. If Henry gave Neave 60 stickers, both would have an equal number of stickers. If Neave gave Henry 30 stickers, Henry would have 6 times as many stickers as Neave. Find the number of stickers each of them had.
- Henry?
- Neave?
| Case 1 |
Case 2 |
| Henry |
Neave |
Henry |
Neave |
| 7 u + 60 |
7 u - 60 |
12 u - 30 |
2 u + 30 |
| - 60 |
+ 60 |
+ 30 |
- 30 |
1x7 =
7 u |
1x7 =
7 u |
6x2 =
12 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 7 is 14.
The number of stickers that Neave had at first is the same in both cases.
7 u - 60 = 2 u + 30
7 u - 2 u = 60 + 30
5 u = 90
1 u = 90 ÷ 5 = 18
Number of stickers that Henry had
= 7 u + 60
= 7 x 18 + 60
= 186
(b)
Number of stickers that Neave had
= 7 u - 60
= 7 x 18 - 60
= 66
Answer(s): (a) 186; (b) 66
