If Bryan gives Adam 23 stickers,
the number of stickers that Bryan will have is 25% of Adam's.
If Adam gives Bryan 13 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 |
3 u + 23 |
12 u - 23 |
5 u - 13 |
10 u + 13 |
Change |
- 23 |
+ 23 |
+ 13 |
- 13 |
After |
1x3 = 3 u |
4x3 = 12 u |
1x5 = 5 u |
2x5 = 10 u |
(a)
25% =
25100 =
14 50% =
50100 =
12 The totals in both scenarios are the same.
LCM of 5 and 3 = 15
Amount that Bryan has at first in Scenario 2 = Amount that Bryan has at first in Scenario 1
5 u - 13 = 3 u + 23
5 u - 3 u = 23 + 13
2 u = 36
1 u = 36 ÷ 2 = 18
Number of stickers that Bryan has
= 3 u + 23
= 3 x 18 + 23
= 54 + 23
= 77
(b)
Number of stickers that Adam has
= 12 u - 23
= 12 x 18 - 23
= 216 - 23
= 193
Answer(s): (a) 77; (b) 193