If Bryan gives Adam 134 stickers,
the number of stickers that Bryan will have is 15% of Adam's.
If Adam gives Bryan 20 stickers,
the number of stickers that Bryan will have is 50% of Adam's.
- How many stickers does Bryan have?
- How many stickers does Adam have?
|
Scenario 1 |
Scenario 2 |
|
Bryan |
Adam |
Bryan |
Adam |
Before |
9 u + 134 |
60 u - 134 |
23 u - 20 |
46 u + 20 |
Change |
- 134 |
+ 134 |
+ 20 |
- 20 |
After |
3x3 = 9 u |
20x3 = 60 u |
1x23 = 23 u |
2x23 = 46 u |
(a)
15% =
15100 =
320 50% =
50100 =
12 The totals in both scenarios are the same.
LCM of 23 and 3 = 69
Amount that Bryan has at first in Scenario 2 = Amount that Bryan has at first in Scenario 1
23 u - 20 = 9 u + 134
23 u - 9 u = 134 + 20
14 u = 154
1 u = 154 ÷ 14 = 11
Number of stickers that Bryan has
= 9 u + 134
= 9 x 11 + 134
= 99 + 134
= 233
(b)
Number of stickers that Adam has
= 60 u - 134
= 60 x 11 - 134
= 660 - 134
= 526
Answer(s): (a) 233; (b) 526