If Bryan gives Adam 13 stickers,
the number of stickers that Bryan will have is 30% of Adam's.
If Adam gives Bryan 12 stickers,
the number of stickers that Bryan will have is 40% of Adam's.
- How many stickers does Bryan have?
- How many stickers does Adam have?
|
Scenario 1 |
Scenario 2 |
|
Bryan |
Adam |
Bryan |
Adam |
Before |
21 u + 13 |
70 u - 13 |
26 u - 12 |
65 u + 12 |
Change |
- 13 |
+ 13 |
+ 12 |
- 12 |
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 Bryan has at first in Scenario 2 = Amount that Bryan has at first in Scenario 1
26 u - 12 = 21 u + 13
26 u - 21 u = 13 + 12
5 u = 25
1 u = 25 ÷ 5 = 5
Number of stickers that Bryan has
= 21 u + 13
= 21 x 5 + 13
= 105 + 13
= 118
(b)
Number of stickers that Adam has
= 70 u - 13
= 70 x 5 - 13
= 350 - 13
= 337
Answer(s): (a) 118; (b) 337