Fill in the blanks.
2 boys, Bryan and Adam, have some stickers.
The ratio of Bryan's to Adam's stickers is 8 : 3.
Bryan gives 105 to Adam.
The ratio of Bryan's to Adam's stickers becomes 1 : 3.
- Number of stickers that Adam has at first = _____ u
- Change in the number of stickers that Adam has = _____ u
- Number of stickers that Bryan has at first = _____ u
- Number of stickers that Bryan has in the end = _____ u
|
Bryan |
Adam |
Total |
Before |
8 x 4 = 32 u |
3 x 4 = 12 u |
11 x 4 = 44 u |
Change |
- 105 |
+ 105 |
|
After |
1 x 11 = 11 u |
3 x 11 = 33 u |
4 x 11 = 44 u |
(a)
Change ratio into units.
There is an internal transfer of 105 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 11 and 4 is 44.
Number of stickers that Bryan gives to Adam
= 32 u - 11 u
= 21 u
Number of stickers that Adam has at first = 12 u
(b)
Number of stickers that Adam has in the end = 33 u
Change in the number of stickers that Adam has
= 33 u - 12 u
= 21 u
(c)
Number of stickers that Bryan has at first = 32 u
(d)
Number of stickers that Bryan has in the end = 11 u
Answer(s): (a) 12; (b) 21; (c) 32; (d) 11