Fill in the blanks.
2 boys, Adam and Bryan, have some stickers.
The ratio of Adam's to Bryan's stickers is 3 : 2.
Adam gives 28 to Bryan.
The ratio of Adam's to Bryan's stickers becomes 1 : 2.
- Number of stickers that Bryan has at first = _____ u
- Change in the number of stickers that Bryan has = _____ u
- Number of stickers that Adam has at first = _____ u
- Number of stickers that Adam has in the end = _____ u
|
Adam |
Bryan |
Total |
Before |
3 x 3 = 9 u |
2 x 3 = 6 u |
5 x 3 = 15 u |
Change |
- 28 |
+ 28 |
|
After |
1 x 5 = 5 u |
2 x 5 = 10 u |
3 x 5 = 15 u |
(a)
Change ratio into units.
There is an internal transfer of 28 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 5 and 3 is 15.
Number of stickers that Adam gives to Bryan
= 9 u - 5 u
= 4 u
Number of stickers that Bryan has at first = 6 u
(b)
Number of stickers that Bryan has in the end = 10 u
Change in the number of stickers that Bryan has
= 10 u - 6 u
= 4 u
(c)
Number of stickers that Adam has at first = 9 u
(d)
Number of stickers that Adam has in the end = 5 u
Answer(s): (a) 6; (b) 4; (c) 9; (d) 5