If Bryan gives Adam 12 stickers,
the number of stickers that Bryan will have is 25% of Adam's.
If Adam gives Bryan 12 stickers,
the number of stickers that Bryan will have is 50% of Adam's.
- How many stickers does Bryan have?
- How many stickers does Adam have?
|
Scenario 1 |
Scenario 2 |
|
Bryan |
Adam |
Bryan |
Adam |
Before |
3 u + 12 |
12 u - 12 |
5 u - 12 |
10 u + 12 |
Change |
- 12 |
+ 12 |
+ 12 |
- 12 |
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 Bryan has at first in Scenario 2 = Amount that Bryan has at first in Scenario 1
5 u - 12 = 3 u + 12
5 u - 3 u = 12 + 12
2 u = 24
1 u = 24 ÷ 2 = 12
Number of stickers that Bryan has
= 3 u + 12
= 3 x 12 + 12
= 36 + 12
= 48
(b)
Number of stickers that Adam has
= 12 u - 12
= 12 x 12 - 12
= 144 - 12
= 132
Answer(s): (a) 48; (b) 132