If Adam gives Bryan 24 stickers,
the number of stickers that Adam will have is 25% of Bryan's.
If Bryan gives Adam 8 stickers,
the number of stickers that Adam will have is 50% of Bryan's.
- How many stickers does Adam have?
- How many stickers does Bryan have?
|
Scenario 1 |
Scenario 2 |
|
Adam |
Bryan |
Adam |
Bryan |
Before |
3 u + 24 |
12 u - 24 |
5 u - 8 |
10 u + 8 |
Change |
- 24 |
+ 24 |
+ 8 |
- 8 |
After |
1x3 = 3 u |
4x3 = 12 u |
1x5 = 5 u |
2x5 = 10 u |
(a)
25% =
25100 =
14 50% =
50100 =
12 The totals in both scenarios are the same.
LCM of 5 and 3 = 15
Amount that Adam has at first in Scenario 2 = Amount that Adam has at first in Scenario 1
5 u - 8 = 3 u + 24
5 u - 3 u = 24 + 8
2 u = 32
1 u = 32 ÷ 2 = 16
Number of stickers that Adam has
= 3 u + 24
= 3 x 16 + 24
= 48 + 24
= 72
(b)
Number of stickers that Bryan has
= 12 u - 24
= 12 x 16 - 24
= 192 - 24
= 168
Answer(s): (a) 72; (b) 168