If Bryan gives Adam 70 stickers,
the number of stickers that Bryan will have is 20% of Adam's.
If Adam gives Bryan 10 stickers,
the number of stickers that Bryan will have is 30% of Adam's.
- How many stickers does Bryan have?
- How many stickers does Adam have?
|
Scenario 1 |
Scenario 2 |
|
Bryan |
Adam |
Bryan |
Adam |
Before |
13 u + 70 |
65 u - 70 |
18 u - 10 |
60 u + 10 |
Change |
- 70 |
+ 70 |
+ 10 |
- 10 |
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 Bryan has at first in Scenario 2 = Amount that Bryan has at first in Scenario 1
18 u - 10 = 13 u + 70
18 u - 13 u = 70 + 10
5 u = 80
1 u = 80 ÷ 5 = 16
Number of stickers that Bryan has
= 13 u + 70
= 13 x 16 + 70
= 208 + 70
= 278
(b)
Number of stickers that Adam has
= 65 u - 70
= 65 x 16 - 70
= 1040 - 70
= 970
Answer(s): (a) 278; (b) 970