Fill in the blanks.
2 boys, Adam and Bryan, have some stickers.
The ratio of Adam's to Bryan's stickers is 3 : 1.
Adam gives 49 to Bryan.
The ratio of Adam's to Bryan's stickers becomes 2 : 3.
- 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 5 = 15 u |
1 x 5 = 5 u |
4 x 5 = 20 u |
Change |
- 49 |
+ 49 |
|
After |
2 x 4 = 8 u |
3 x 4 = 12 u |
5 x 4 = 20 u |
(a)
Change ratio into units.
There is an internal transfer of 49 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 4 and 5 is 20.
Number of stickers that Adam gives to Bryan
= 15 u - 8 u
= 7 u
Number of stickers that Bryan has at first = 5 u
(b)
Number of stickers that Bryan has in the end = 12 u
Change in the number of stickers that Bryan has
= 12 u - 5 u
= 7 u
(c)
Number of stickers that Adam has at first = 15 u
(d)
Number of stickers that Adam has in the end = 8 u
Answer(s): (a) 5; (b) 7; (c) 15; (d) 8