Fill in the blanks.
2 boys, Bryan and Adam, have some stickers.
The ratio of Bryan's to Adam's stickers is 5 : 3.
Bryan gives 189 to Adam.
The ratio of Bryan's to Adam's stickers becomes 1 : 6.
- 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 |
5 x 7 = 35 u |
3 x 7 = 21 u |
8 x 7 = 56 u |
Change |
- 189 |
+ 189 |
|
After |
1 x 8 = 8 u |
6 x 8 = 48 u |
7 x 8 = 56 u |
(a)
Change ratio into units.
There is an internal transfer of 189 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 8 and 7 is 56.
Number of stickers that Bryan gives to Adam
= 35 u - 8 u
= 27 u
Number of stickers that Adam has at first = 21 u
(b)
Number of stickers that Adam has in the end = 48 u
Change in the number of stickers that Adam has
= 48 u - 21 u
= 27 u
(c)
Number of stickers that Bryan has at first = 35 u
(d)
Number of stickers that Bryan has in the end = 8 u
Answer(s): (a) 21; (b) 27; (c) 35; (d) 8