Fill in the blanks.
2 boys, Adam and Bryan, have some stickers.
The ratio of Adam's to Bryan's stickers is 3 : 2.
Adam gives 88 to Bryan.
The ratio of Adam's to Bryan's stickers becomes 1 : 8.
- 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 |
3 x 9 = 27 u |
2 x 9 = 18 u |
5 x 9 = 45 u |
Change |
- 88 |
+ 88 |
|
After |
1 x 5 = 5 u |
8 x 5 = 40 u |
9 x 5 = 45 u |
(a)
Change ratio into units.
There is an internal transfer of 88 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 5 and 9 is 45.
Number of stickers that Adam gives to Bryan
= 27 u - 5 u
= 22 u
Number of stickers that Bryan has at first = 18 u
(b)
Number of stickers that Bryan has in the end = 40 u
Change in the number of stickers that Bryan has
= 40 u - 18 u
= 22 u
(c)
Number of stickers that Adam has at first = 27 u
(d)
Number of stickers that Adam has in the end = 5 u
Answer(s): (a) 18; (b) 22; (c) 27; (d) 5