Fill in the blanks.
2 boys, Adam and Bryan, have some stickers.
The ratio of Adam's to Bryan's stickers is 9 : 8.
Adam gives 99 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 |
9 x 5 = 45 u |
8 x 5 = 40 u |
17 x 5 = 85 u |
Change |
- 99 |
+ 99 |
|
After |
2 x 17 = 34 u |
3 x 17 = 51 u |
5 x 17 = 85 u |
(a)
Change ratio into units.
There is an internal transfer of 99 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 17 and 5 is 85.
Number of stickers that Adam gives to Bryan
= 45 u - 34 u
= 11 u
Number of stickers that Bryan has at first = 40 u
(b)
Number of stickers that Bryan has in the end = 51 u
Change in the number of stickers that Bryan has
= 51 u - 40 u
= 11 u
(c)
Number of stickers that Adam has at first = 45 u
(d)
Number of stickers that Adam has in the end = 34 u
Answer(s): (a) 40; (b) 11; (c) 45; (d) 34