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 60 to Bryan.
The ratio of Adam's to Bryan's stickers becomes 1 : 2.
- 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 3 = 27 u |
8 x 3 = 24 u |
17 x 3 = 51 u |
Change |
- 60 |
+ 60 |
|
After |
1 x 17 = 17 u |
2 x 17 = 34 u |
3 x 17 = 51 u |
(a)
Change ratio into units.
There is an internal transfer of 60 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 17 and 3 is 51.
Number of stickers that Adam gives to Bryan
= 27 u - 17 u
= 10 u
Number of stickers that Bryan has at first = 24 u
(b)
Number of stickers that Bryan has in the end = 34 u
Change in the number of stickers that Bryan has
= 34 u - 24 u
= 10 u
(c)
Number of stickers that Adam has at first = 27 u
(d)
Number of stickers that Adam has in the end = 17 u
Answer(s): (a) 24; (b) 10; (c) 27; (d) 17