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 26 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 |
8 x 3 = 24 u |
3 x 3 = 9 u |
11 x 3 = 33 u |
Change |
- 26 |
+ 26 |
|
After |
1 x 11 = 11 u |
2 x 11 = 22 u |
3 x 11 = 33 u |
(a)
Change ratio into units.
There is an internal transfer of 26 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 11 and 3 is 33.
Number of stickers that Bryan gives to Adam
= 24 u - 11 u
= 13 u
Number of stickers that Adam has at first = 9 u
(b)
Number of stickers that Adam has in the end = 22 u
Change in the number of stickers that Adam has
= 22 u - 9 u
= 13 u
(c)
Number of stickers that Bryan has at first = 24 u
(d)
Number of stickers that Bryan has in the end = 11 u
Answer(s): (a) 9; (b) 13; (c) 24; (d) 11