Fill in the blanks.
2 boys, Adam and Bryan, have some stickers.
The ratio of Adam's to Bryan's stickers is 9 : 2.
Adam gives 296 to Bryan.
The ratio of Adam's to Bryan's stickers becomes 4 : 5.
- 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 |
9 x 9 = 81 u |
2 x 9 = 18 u |
11 x 9 = 99 u |
Change |
- 296 |
+ 296 |
|
After |
4 x 11 = 44 u |
5 x 11 = 55 u |
9 x 11 = 99 u |
(a)
Change ratio into units.
There is an internal transfer of 296 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 11 and 9 is 99.
Number of stickers that Adam gives to Bryan
= 81 u - 44 u
= 37 u
Number of stickers that Bryan has at first = 18 u
(b)
Number of stickers that Bryan has in the end = 55 u
Change in the number of stickers that Bryan has
= 55 u - 18 u
= 37 u
(c)
Number of stickers that Adam has at first = 81 u
(d)
Number of stickers that Adam has in the end = 44 u
Answer(s): (a) 18; (b) 37; (c) 81; (d) 44