If Adam gives Bryan 178 stickers,
the number of stickers that Adam will have is 15% of Bryan's.
If Bryan gives Adam 18 stickers,
the number of stickers that Adam will have is 50% of Bryan's.
- How many stickers does Adam have?
- How many stickers does Bryan have?
|
Scenario 1 |
Scenario 2 |
|
Adam |
Bryan |
Adam |
Bryan |
Before |
9 u + 178 |
60 u - 178 |
23 u - 18 |
46 u + 18 |
Change |
- 178 |
+ 178 |
+ 18 |
- 18 |
After |
3x3 = 9 u |
20x3 = 60 u |
1x23 = 23 u |
2x23 = 46 u |
(a)
15% =
15100 =
320 50% =
50100 =
12 The totals in both scenarios are the same.
LCM of 23 and 3 = 69
Amount that Adam has at first in Scenario 2 = Amount that Adam has at first in Scenario 1
23 u - 18 = 9 u + 178
23 u - 9 u = 178 + 18
14 u = 196
1 u = 196 ÷ 14 = 14
Number of stickers that Adam has
= 9 u + 178
= 9 x 14 + 178
= 126 + 178
= 304
(b)
Number of stickers that Bryan has
= 60 u - 178
= 60 x 14 - 178
= 840 - 178
= 662
Answer(s): (a) 304; (b) 662