Fill in the blanks.
2 boys, Adam and Bryan, have some stickers.
The ratio of Adam's to Bryan's stickers is 4 : 3.
Adam gives 25 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 |
4 x 3 = 12 u |
3 x 3 = 9 u |
7 x 3 = 21 u |
Change |
- 25 |
+ 25 |
|
After |
1 x 7 = 7 u |
2 x 7 = 14 u |
3 x 7 = 21 u |
(a)
Change ratio into units.
There is an internal transfer of 25 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 7 and 3 is 21.
Number of stickers that Adam gives to Bryan
= 12 u - 7 u
= 5 u
Number of stickers that Bryan has at first = 9 u
(b)
Number of stickers that Bryan has in the end = 14 u
Change in the number of stickers that Bryan has
= 14 u - 9 u
= 5 u
(c)
Number of stickers that Adam has at first = 12 u
(d)
Number of stickers that Adam has in the end = 7 u
Answer(s): (a) 9; (b) 5; (c) 12; (d) 7