If Bryan gives Adam 72 stickers,
the number of stickers that Bryan will have is 20% of Adam's.
If Adam gives Bryan 13 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 + 72 |
65 u - 72 |
18 u - 13 |
60 u + 13 |
Change |
- 72 |
+ 72 |
+ 13 |
- 13 |
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 - 13 = 13 u + 72
18 u - 13 u = 72 + 13
5 u = 85
1 u = 85 ÷ 5 = 17
Number of stickers that Bryan has
= 13 u + 72
= 13 x 17 + 72
= 221 + 72
= 293
(b)
Number of stickers that Adam has
= 65 u - 72
= 65 x 17 - 72
= 1105 - 72
= 1033
Answer(s): (a) 293; (b) 1033