If Adam gives Bryan 27 stickers,
the number of stickers that Adam will have is 25% of Bryan's.
If Bryan gives Adam 13 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 + 27 |
12 u - 27 |
5 u - 13 |
10 u + 13 |
Change |
- 27 |
+ 27 |
+ 13 |
- 13 |
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 - 13 = 3 u + 27
5 u - 3 u = 27 + 13
2 u = 40
1 u = 40 ÷ 2 = 20
Number of stickers that Adam has
= 3 u + 27
= 3 x 20 + 27
= 60 + 27
= 87
(b)
Number of stickers that Bryan has
= 12 u - 27
= 12 x 20 - 27
= 240 - 27
= 213
Answer(s): (a) 87; (b) 213