If Adam gives Bryan 18 stickers,
the number of stickers that Adam will have is 20% of Bryan's.
If Bryan gives Adam 17 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 + 18 |
65 u - 18 |
18 u - 17 |
60 u + 17 |
Change |
- 18 |
+ 18 |
+ 17 |
- 17 |
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 Adam has at first in Scenario 2 = Amount that Adam has at first in Scenario 1
18 u - 17 = 13 u + 18
18 u - 13 u = 18 + 17
5 u = 35
1 u = 35 ÷ 5 = 7
Number of stickers that Adam has
= 13 u + 18
= 13 x 7 + 18
= 91 + 18
= 109
(b)
Number of stickers that Bryan has
= 65 u - 18
= 65 x 7 - 18
= 455 - 18
= 437
Answer(s): (a) 109; (b) 437