If Bryan gives Adam 44 stickers,
the number of stickers that Bryan will have is 20% of Adam's.
If Adam gives Bryan 6 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 + 44 |
65 u - 44 |
18 u - 6 |
60 u + 6 |
Change |
- 44 |
+ 44 |
+ 6 |
- 6 |
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 - 6 = 13 u + 44
18 u - 13 u = 44 + 6
5 u = 50
1 u = 50 ÷ 5 = 10
Number of stickers that Bryan has
= 13 u + 44
= 13 x 10 + 44
= 130 + 44
= 174
(b)
Number of stickers that Adam has
= 65 u - 44
= 65 x 10 - 44
= 650 - 44
= 606
Answer(s): (a) 174; (b) 606