Fill in the blanks.
2 boys, Bryan and Adam, have some stickers.
The ratio of Bryan's to Adam's stickers is 6 : 1.
Bryan gives 99 to Adam.
The ratio of Bryan's to Adam's stickers becomes 1 : 2.
- 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 |
6 x 3 = 18 u |
1 x 3 = 3 u |
7 x 3 = 21 u |
Change |
- 99 |
+ 99 |
|
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 99 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 7 and 3 is 21.
Number of stickers that Bryan gives to Adam
= 18 u - 7 u
= 11 u
Number of stickers that Adam has at first = 3 u
(b)
Number of stickers that Adam has in the end = 14 u
Change in the number of stickers that Adam has
= 14 u - 3 u
= 11 u
(c)
Number of stickers that Bryan has at first = 18 u
(d)
Number of stickers that Bryan has in the end = 7 u
Answer(s): (a) 3; (b) 11; (c) 18; (d) 7