Fill in the blanks.
2 boys, Adam and Bryan, have some stickers.
The ratio of Adam's to Bryan's stickers is 5 : 4.
Adam gives 196 to Bryan.
The ratio of Adam's to Bryan's stickers becomes 3 : 8.
- 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 |
5 x 11 = 55 u |
4 x 11 = 44 u |
9 x 11 = 99 u |
Change |
- 196 |
+ 196 |
|
After |
3 x 9 = 27 u |
8 x 9 = 72 u |
11 x 9 = 99 u |
(a)
Change ratio into units.
There is an internal transfer of 196 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 9 and 11 is 99.
Number of stickers that Adam gives to Bryan
= 55 u - 27 u
= 28 u
Number of stickers that Bryan has at first = 44 u
(b)
Number of stickers that Bryan has in the end = 72 u
Change in the number of stickers that Bryan has
= 72 u - 44 u
= 28 u
(c)
Number of stickers that Adam has at first = 55 u
(d)
Number of stickers that Adam has in the end = 27 u
Answer(s): (a) 44; (b) 28; (c) 55; (d) 27