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 16 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 |
6 x 5 = 30 u |
5 x 5 = 25 u |
11 x 5 = 55 u |
Change |
- 16 |
+ 16 |
|
After |
2 x 11 = 22 u |
3 x 11 = 33 u |
5 x 11 = 55 u |
(a)
Change ratio into units.
There is an internal transfer of 16 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 11 and 5 is 55.
Number of stickers that Adam gives to Bryan
= 30 u - 22 u
= 8 u
Number of stickers that Bryan has at first = 25 u
(b)
Number of stickers that Bryan has in the end = 33 u
Change in the number of stickers that Bryan has
= 33 u - 25 u
= 8 u
(c)
Number of stickers that Adam has at first = 30 u
(d)
Number of stickers that Adam has in the end = 22 u
Answer(s): (a) 25; (b) 8; (c) 30; (d) 22