Fill in the blanks.
2 boys, Adam and Bryan, have some stickers.
The ratio of Adam's to Bryan's stickers is 6 : 5.
Adam gives 39 to Bryan.
The ratio of Adam's to Bryan's stickers becomes 1 : 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 |
6 x 4 = 24 u |
5 x 4 = 20 u |
11 x 4 = 44 u |
Change |
- 39 |
+ 39 |
|
After |
1 x 11 = 11 u |
3 x 11 = 33 u |
4 x 11 = 44 u |
(a)
Change ratio into units.
There is an internal transfer of 39 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 11 and 4 is 44.
Number of stickers that Adam gives to Bryan
= 24 u - 11 u
= 13 u
Number of stickers that Bryan has at first = 20 u
(b)
Number of stickers that Bryan has in the end = 33 u
Change in the number of stickers that Bryan has
= 33 u - 20 u
= 13 u
(c)
Number of stickers that Adam has at first = 24 u
(d)
Number of stickers that Adam has in the end = 11 u
Answer(s): (a) 20; (b) 13; (c) 24; (d) 11