If Adam gives Bryan 12 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 30% of Bryan's.
- How many stickers does Adam have?
- How many stickers does Bryan have?
|
Scenario 1 |
Scenario 2 |
|
Adam |
Bryan |
Adam |
Bryan |
Before |
13 u + 12 |
52 u - 12 |
15 u - 8 |
50 u + 8 |
Change |
- 12 |
+ 12 |
+ 8 |
- 8 |
After |
1x13 = 13 u |
4x13 = 52 u |
3x5 = 15 u |
10x5 = 50 u |
(a)
25% =
25100 =
14 30% =
30100 =
310 The totals in both scenarios are the same.
LCM of 5 and 13 = 65
Amount that Adam has at first in Scenario 2 = Amount that Adam has at first in Scenario 1
15 u - 8 = 13 u + 12
15 u - 13 u = 12 + 8
2 u = 20
1 u = 20 ÷ 2 = 10
Number of stickers that Adam has
= 13 u + 12
= 13 x 10 + 12
= 130 + 12
= 142
(b)
Number of stickers that Bryan has
= 52 u - 12
= 52 x 10 - 12
= 520 - 12
= 508
Answer(s): (a) 142; (b) 508