If Bryan gives Adam 11 stickers,
the number of stickers that Bryan will have is 20% of Adam's.
If Adam gives Bryan 7 stickers,
the number of stickers that Bryan will have is 25% of Adam's.
- How many stickers does Bryan have?
- How many stickers does Adam have?
|
Scenario 1 |
Scenario 2 |
|
Bryan |
Adam |
Bryan |
Adam |
Before |
5 u + 11 |
25 u - 11 |
6 u - 7 |
24 u + 7 |
Change |
- 11 |
+ 11 |
+ 7 |
- 7 |
After |
1x5 = 5 u |
5x5 = 25 u |
1x6 = 6 u |
4x6 = 24 u |
(a)
20% =
20100 =
15 25% =
25100 =
14 The totals in both scenarios are the same.
LCM of 6 and 5 = 30
Amount that Bryan has at first in Scenario 2 = Amount that Bryan has at first in Scenario 1
6 u - 7 = 5 u + 11
6 u - 5 u = 11 + 7
1 u = 18
1 u = 18 ÷ 1 = 18
Number of stickers that Bryan has
= 5 u + 11
= 5 x 18 + 11
= 90 + 11
= 101
(b)
Number of stickers that Adam has
= 25 u - 11
= 25 x 18 - 11
= 450 - 11
= 439
Answer(s): (a) 101; (b) 439