If Adam gives Bryan 24 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 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 + 24 |
52 u - 24 |
15 u - 12 |
50 u + 12 |
Change |
- 24 |
+ 24 |
+ 12 |
- 12 |
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 - 12 = 13 u + 24
15 u - 13 u = 24 + 12
2 u = 36
1 u = 36 ÷ 2 = 18
Number of stickers that Adam has
= 13 u + 24
= 13 x 18 + 24
= 234 + 24
= 258
(b)
Number of stickers that Bryan has
= 52 u - 24
= 52 x 18 - 24
= 936 - 24
= 912
Answer(s): (a) 258; (b) 912