Fill in the blanks.
2 boys, Adam and Bryan, have some stickers.
The ratio of Adam's to Bryan's stickers is 8 : 5.
Adam gives 22 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 |
8 x 3 = 24 u |
5 x 3 = 15 u |
13 x 3 = 39 u |
Change |
- 22 |
+ 22 |
|
After |
1 x 13 = 13 u |
2 x 13 = 26 u |
3 x 13 = 39 u |
(a)
Change ratio into units.
There is an internal transfer of 22 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 13 and 3 is 39.
Number of stickers that Adam gives to Bryan
= 24 u - 13 u
= 11 u
Number of stickers that Bryan has at first = 15 u
(b)
Number of stickers that Bryan has in the end = 26 u
Change in the number of stickers that Bryan has
= 26 u - 15 u
= 11 u
(c)
Number of stickers that Adam has at first = 24 u
(d)
Number of stickers that Adam has in the end = 13 u
Answer(s): (a) 15; (b) 11; (c) 24; (d) 13