Fill in the blanks.
2 boys, Bryan and Adam, have some stickers.
The ratio of Bryan's to Adam's stickers is 2 : 1.
Bryan gives 39 to Adam.
The ratio of Bryan's to Adam's stickers becomes 1 : 7.
- 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 |
2 x 8 = 16 u |
1 x 8 = 8 u |
3 x 8 = 24 u |
Change |
- 39 |
+ 39 |
|
After |
1 x 3 = 3 u |
7 x 3 = 21 u |
8 x 3 = 24 u |
(a)
Change ratio into units.
There is an internal transfer of 39 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 3 and 8 is 24.
Number of stickers that Bryan gives to Adam
= 16 u - 3 u
= 13 u
Number of stickers that Adam has at first = 8 u
(b)
Number of stickers that Adam has in the end = 21 u
Change in the number of stickers that Adam has
= 21 u - 8 u
= 13 u
(c)
Number of stickers that Bryan has at first = 16 u
(d)
Number of stickers that Bryan has in the end = 3 u
Answer(s): (a) 8; (b) 13; (c) 16; (d) 3