If Adam gives Bryan 16 stickers,
the number of stickers that Adam will have is 30% of Bryan's.
If Bryan gives Adam 14 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 |
21 u + 16 |
70 u - 16 |
26 u - 14 |
65 u + 14 |
Change |
- 16 |
+ 16 |
+ 14 |
- 14 |
After |
3x7 = 21 u |
10x7 = 70 u |
2x13 = 26 u |
5x13 = 65 u |
(a)
30% =
30100 =
310 40% =
40100 =
25 The totals in both scenarios are the same.
LCM of 13 and 7 = 91
Amount that Adam has at first in Scenario 2 = Amount that Adam has at first in Scenario 1
26 u - 14 = 21 u + 16
26 u - 21 u = 16 + 14
5 u = 30
1 u = 30 ÷ 5 = 6
Number of stickers that Adam has
= 21 u + 16
= 21 x 6 + 16
= 126 + 16
= 142
(b)
Number of stickers that Bryan has
= 70 u - 16
= 70 x 6 - 16
= 420 - 16
= 404
Answer(s): (a) 142; (b) 404