If Adam gives Bryan 25 stickers,
the number of stickers that Adam will have is 25% of Bryan's.
If Bryan gives Adam 9 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 + 25 |
12 u - 25 |
5 u - 9 |
10 u + 9 |
Change |
- 25 |
+ 25 |
+ 9 |
- 9 |
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 - 9 = 3 u + 25
5 u - 3 u = 25 + 9
2 u = 34
1 u = 34 ÷ 2 = 17
Number of stickers that Adam has
= 3 u + 25
= 3 x 17 + 25
= 51 + 25
= 76
(b)
Number of stickers that Bryan has
= 12 u - 25
= 12 x 17 - 25
= 204 - 25
= 179
Answer(s): (a) 76; (b) 179