If Adam gives Bryan 89 stickers,
the number of stickers that Adam will have is 15% 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 |
9 u + 89 |
60 u - 89 |
23 u - 9 |
46 u + 9 |
Change |
- 89 |
+ 89 |
+ 9 |
- 9 |
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 Adam has at first in Scenario 2 = Amount that Adam has at first in Scenario 1
23 u - 9 = 9 u + 89
23 u - 9 u = 89 + 9
14 u = 98
1 u = 98 ÷ 14 = 7
Number of stickers that Adam has
= 9 u + 89
= 9 x 7 + 89
= 63 + 89
= 152
(b)
Number of stickers that Bryan has
= 60 u - 89
= 60 x 7 - 89
= 420 - 89
= 331
Answer(s): (a) 152; (b) 331