If Bryan gives Adam 16 stickers,
the number of stickers that Bryan will have is 30% of Adam's.
If Adam gives Bryan 20 stickers,
the number of stickers that Bryan will have is 50% of Adam's.
- How many stickers does Bryan have?
- How many stickers does Adam have?
|
Scenario 1 |
Scenario 2 |
|
Bryan |
Adam |
Bryan |
Adam |
Before |
9 u + 16 |
30 u - 16 |
13 u - 20 |
26 u + 20 |
Change |
- 16 |
+ 16 |
+ 20 |
- 20 |
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 Bryan has at first in Scenario 2 = Amount that Bryan has at first in Scenario 1
13 u - 20 = 9 u + 16
13 u - 9 u = 16 + 20
4 u = 36
1 u = 36 ÷ 4 = 9
Number of stickers that Bryan has
= 9 u + 16
= 9 x 9 + 16
= 81 + 16
= 97
(b)
Number of stickers that Adam has
= 30 u - 16
= 30 x 9 - 16
= 270 - 16
= 254
Answer(s): (a) 97; (b) 254