If Bryan gives Adam 17 stickers,
the number of stickers that Bryan will have is 25% of Adam's.
If Adam gives Bryan 9 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 + 17 |
52 u - 17 |
15 u - 9 |
50 u + 9 |
Change |
- 17 |
+ 17 |
+ 9 |
- 9 |
After |
1x13 = 13 u |
4x13 = 52 u |
3x5 = 15 u |
10x5 = 50 u |
(a)
25% =
25100 =
14 30% =
30100 =
310 The totals in both scenarios are the same.
LCM of 5 and 13 = 65
Amount that Bryan has at first in Scenario 2 = Amount that Bryan has at first in Scenario 1
15 u - 9 = 13 u + 17
15 u - 13 u = 17 + 9
2 u = 26
1 u = 26 ÷ 2 = 13
Number of stickers that Bryan has
= 13 u + 17
= 13 x 13 + 17
= 169 + 17
= 186
(b)
Number of stickers that Adam has
= 52 u - 17
= 52 x 13 - 17
= 676 - 17
= 659
Answer(s): (a) 186; (b) 659