If Adam gives Bryan 24 stickers,
the number of stickers that Adam will have is 30% of Bryan's.
If Bryan gives Adam 8 stickers,
the number of stickers that Adam will have is 50% of Bryan's.
- How many stickers does Adam have?
- How many stickers does Bryan have?
|
Scenario 1 |
Scenario 2 |
|
Adam |
Bryan |
Adam |
Bryan |
Before |
9 u + 24 |
30 u - 24 |
13 u - 8 |
26 u + 8 |
Change |
- 24 |
+ 24 |
+ 8 |
- 8 |
After |
3x3 = 9 u |
10x3 = 30 u |
1x13 = 13 u |
2x13 = 26 u |
(a)
30% =
30100 =
310 50% =
50100 =
12 The totals in both scenarios are the same.
LCM of 13 and 3 = 39
Amount that Adam has at first in Scenario 2 = Amount that Adam has at first in Scenario 1
13 u - 8 = 9 u + 24
13 u - 9 u = 24 + 8
4 u = 32
1 u = 32 ÷ 4 = 8
Number of stickers that Adam has
= 9 u + 24
= 9 x 8 + 24
= 72 + 24
= 96
(b)
Number of stickers that Bryan has
= 30 u - 24
= 30 x 8 - 24
= 240 - 24
= 216
Answer(s): (a) 96; (b) 216