If Adam gives Bryan 29 stickers,
the number of stickers that Adam will have is 25% of Bryan's.
If Bryan gives Adam 13 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 + 29 |
28 u - 29 |
10 u - 13 |
25 u + 13 |
Change |
- 29 |
+ 29 |
+ 13 |
- 13 |
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 - 13 = 7 u + 29
10 u - 7 u = 29 + 13
3 u = 42
1 u = 42 ÷ 3 = 14
Number of stickers that Adam has
= 7 u + 29
= 7 x 14 + 29
= 98 + 29
= 127
(b)
Number of stickers that Bryan has
= 28 u - 29
= 28 x 14 - 29
= 392 - 29
= 363
Answer(s): (a) 127; (b) 363