If Bryan gives Adam 74 stickers,
the number of stickers that Bryan will have is 15% of Adam's.
If Adam gives Bryan 10 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 + 74 |
60 u - 74 |
23 u - 10 |
46 u + 10 |
Change |
- 74 |
+ 74 |
+ 10 |
- 10 |
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 - 10 = 9 u + 74
23 u - 9 u = 74 + 10
14 u = 84
1 u = 84 ÷ 14 = 6
Number of stickers that Bryan has
= 9 u + 74
= 9 x 6 + 74
= 54 + 74
= 128
(b)
Number of stickers that Adam has
= 60 u - 74
= 60 x 6 - 74
= 360 - 74
= 286
Answer(s): (a) 128; (b) 286