If Adam gives Bryan 18 stickers,
the number of stickers that Adam will have is 25% of Bryan's.
If Bryan gives Adam 12 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 + 18 |
12 u - 18 |
5 u - 12 |
10 u + 12 |
Change |
- 18 |
+ 18 |
+ 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 Adam has at first in Scenario 2 = Amount that Adam has at first in Scenario 1
5 u - 12 = 3 u + 18
5 u - 3 u = 18 + 12
2 u = 30
1 u = 30 ÷ 2 = 15
Number of stickers that Adam has
= 3 u + 18
= 3 x 15 + 18
= 45 + 18
= 63
(b)
Number of stickers that Bryan has
= 12 u - 18
= 12 x 15 - 18
= 180 - 18
= 162
Answer(s): (a) 63; (b) 162