If Adam gives Bryan 67 stickers,
the number of stickers that Adam will have is 15% of Bryan's.
If Bryan gives Adam 17 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 + 67 |
60 u - 67 |
23 u - 17 |
46 u + 17 |
Change |
- 67 |
+ 67 |
+ 17 |
- 17 |
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 - 17 = 9 u + 67
23 u - 9 u = 67 + 17
14 u = 84
1 u = 84 ÷ 14 = 6
Number of stickers that Adam has
= 9 u + 67
= 9 x 6 + 67
= 54 + 67
= 121
(b)
Number of stickers that Bryan has
= 60 u - 67
= 60 x 6 - 67
= 360 - 67
= 293
Answer(s): (a) 121; (b) 293