Fill in the blanks.
2 boys, Adam and Bryan, have some stickers.
The ratio of Adam's to Bryan's stickers is 3 : 1.
Adam gives 114 to Bryan.
The ratio of Adam's to Bryan's stickers becomes 8 : 9.
- 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 17 = 51 u |
1 x 17 = 17 u |
4 x 17 = 68 u |
Change |
- 114 |
+ 114 |
|
After |
8 x 4 = 32 u |
9 x 4 = 36 u |
17 x 4 = 68 u |
(a)
Change ratio into units.
There is an internal transfer of 114 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 4 and 17 is 68.
Number of stickers that Adam gives to Bryan
= 51 u - 32 u
= 19 u
Number of stickers that Bryan has at first = 17 u
(b)
Number of stickers that Bryan has in the end = 36 u
Change in the number of stickers that Bryan has
= 36 u - 17 u
= 19 u
(c)
Number of stickers that Adam has at first = 51 u
(d)
Number of stickers that Adam has in the end = 32 u
Answer(s): (a) 17; (b) 19; (c) 51; (d) 32