If Adam gives Bryan 30 stickers,
the number of stickers that Adam will have is 25% of Bryan's.
If Bryan gives Adam 18 stickers,
the number of stickers that Adam will have is 40% of Bryan's.
- How many stickers does Adam have?
- How many stickers does Bryan have?
|
Scenario 1 |
Scenario 2 |
|
Adam |
Bryan |
Adam |
Bryan |
Before |
7 u + 30 |
28 u - 30 |
10 u - 18 |
25 u + 18 |
Change |
- 30 |
+ 30 |
+ 18 |
- 18 |
After |
1x7 = 7 u |
4x7 = 28 u |
2x5 = 10 u |
5x5 = 25 u |
(a)
25% =
25100 =
14 40% =
40100 =
25 The totals in both scenarios are the same.
LCM of 5 and 7 = 35
Amount that Adam has at first in Scenario 2 = Amount that Adam has at first in Scenario 1
10 u - 18 = 7 u + 30
10 u - 7 u = 30 + 18
3 u = 48
1 u = 48 ÷ 3 = 16
Number of stickers that Adam has
= 7 u + 30
= 7 x 16 + 30
= 112 + 30
= 142
(b)
Number of stickers that Bryan has
= 28 u - 30
= 28 x 16 - 30
= 448 - 30
= 418
Answer(s): (a) 142; (b) 418