If Adam gives Bryan 33 stickers,
the number of stickers that Adam will have is 25% of Bryan's.
If Bryan gives Adam 7 stickers,
the number of stickers that Adam will have is 30% of Bryan's.
- How many stickers does Adam have?
- How many stickers does Bryan have?
|
Scenario 1 |
Scenario 2 |
|
Adam |
Bryan |
Adam |
Bryan |
Before |
13 u + 33 |
52 u - 33 |
15 u - 7 |
50 u + 7 |
Change |
- 33 |
+ 33 |
+ 7 |
- 7 |
After |
1x13 = 13 u |
4x13 = 52 u |
3x5 = 15 u |
10x5 = 50 u |
(a)
25% =
25100 =
14 30% =
30100 =
310 The totals in both scenarios are the same.
LCM of 5 and 13 = 65
Amount that Adam has at first in Scenario 2 = Amount that Adam has at first in Scenario 1
15 u - 7 = 13 u + 33
15 u - 13 u = 33 + 7
2 u = 40
1 u = 40 ÷ 2 = 20
Number of stickers that Adam has
= 13 u + 33
= 13 x 20 + 33
= 260 + 33
= 293
(b)
Number of stickers that Bryan has
= 52 u - 33
= 52 x 20 - 33
= 1040 - 33
= 1007
Answer(s): (a) 293; (b) 1007