If Bryan gives Adam 28 stickers,
the number of stickers that Bryan will have is 20% of Adam's.
If Adam gives Bryan 12 stickers,
the number of stickers that Bryan will have is 30% of Adam's.
- How many stickers does Bryan have?
- How many stickers does Adam have?
|
Scenario 1 |
Scenario 2 |
|
Bryan |
Adam |
Bryan |
Adam |
Before |
13 u + 28 |
65 u - 28 |
18 u - 12 |
60 u + 12 |
Change |
- 28 |
+ 28 |
+ 12 |
- 12 |
After |
1x13 = 13 u |
5x13 = 65 u |
3x6 = 18 u |
10x6 = 60 u |
(a)
20% =
20100 =
15 30% =
30100 =
310 The totals in both scenarios are the same.
LCM of 6 and 13 = 78
Amount that Bryan has at first in Scenario 2 = Amount that Bryan has at first in Scenario 1
18 u - 12 = 13 u + 28
18 u - 13 u = 28 + 12
5 u = 40
1 u = 40 ÷ 5 = 8
Number of stickers that Bryan has
= 13 u + 28
= 13 x 8 + 28
= 104 + 28
= 132
(b)
Number of stickers that Adam has
= 65 u - 28
= 65 x 8 - 28
= 520 - 28
= 492
Answer(s): (a) 132; (b) 492