Fill in the blanks.
2 boys, Adam and Bryan, have some stickers.
The ratio of Adam's to Bryan's stickers is 2 : 1.
Adam gives 112 to Bryan.
The ratio of Adam's to Bryan's stickers becomes 2 : 9.
- 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 |
2 x 11 = 22 u |
1 x 11 = 11 u |
3 x 11 = 33 u |
Change |
- 112 |
+ 112 |
|
After |
2 x 3 = 6 u |
9 x 3 = 27 u |
11 x 3 = 33 u |
(a)
Change ratio into units.
There is an internal transfer of 112 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 3 and 11 is 33.
Number of stickers that Adam gives to Bryan
= 22 u - 6 u
= 16 u
Number of stickers that Bryan has at first = 11 u
(b)
Number of stickers that Bryan has in the end = 27 u
Change in the number of stickers that Bryan has
= 27 u - 11 u
= 16 u
(c)
Number of stickers that Adam has at first = 22 u
(d)
Number of stickers that Adam has in the end = 6 u
Answer(s): (a) 11; (b) 16; (c) 22; (d) 6