If Adam gives Bryan 14 stickers,
the number of stickers that Adam will have is 25% of Bryan's.
If Bryan gives Adam 18 stickers,
the number of stickers that Adam will have is 30% of Bryan's.
- How many stickers does Adam have?
- How many stickers does Bryan have?
|
Scenario 1 |
Scenario 2 |
|
Adam |
Bryan |
Adam |
Bryan |
Before |
13 u + 14 |
52 u - 14 |
15 u - 18 |
50 u + 18 |
Change |
- 14 |
+ 14 |
+ 18 |
- 18 |
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 Adam has at first in Scenario 2 = Amount that Adam has at first in Scenario 1
15 u - 18 = 13 u + 14
15 u - 13 u = 14 + 18
2 u = 32
1 u = 32 ÷ 2 = 16
Number of stickers that Adam has
= 13 u + 14
= 13 x 16 + 14
= 208 + 14
= 222
(b)
Number of stickers that Bryan has
= 52 u - 14
= 52 x 16 - 14
= 832 - 14
= 818
Answer(s): (a) 222; (b) 818