If Adam gives Bryan 23 stickers,
the number of stickers that Adam will have is 30% of Bryan's.
If Bryan gives Adam 13 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 + 23 |
30 u - 23 |
13 u - 13 |
26 u + 13 |
Change |
- 23 |
+ 23 |
+ 13 |
- 13 |
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 Adam has at first in Scenario 2 = Amount that Adam has at first in Scenario 1
13 u - 13 = 9 u + 23
13 u - 9 u = 23 + 13
4 u = 36
1 u = 36 ÷ 4 = 9
Number of stickers that Adam has
= 9 u + 23
= 9 x 9 + 23
= 81 + 23
= 104
(b)
Number of stickers that Bryan has
= 30 u - 23
= 30 x 9 - 23
= 270 - 23
= 247
Answer(s): (a) 104; (b) 247