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 52 to Adam.
The ratio of Bryan's to Adam's stickers becomes 4 : 5.
- 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 9 = 45 u |
3 x 9 = 27 u |
8 x 9 = 72 u |
Change |
- 52 |
+ 52 |
|
After |
4 x 8 = 32 u |
5 x 8 = 40 u |
9 x 8 = 72 u |
(a)
Change ratio into units.
There is an internal transfer of 52 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 8 and 9 is 72.
Number of stickers that Bryan gives to Adam
= 45 u - 32 u
= 13 u
Number of stickers that Adam has at first = 27 u
(b)
Number of stickers that Adam has in the end = 40 u
Change in the number of stickers that Adam has
= 40 u - 27 u
= 13 u
(c)
Number of stickers that Bryan has at first = 45 u
(d)
Number of stickers that Bryan has in the end = 32 u
Answer(s): (a) 27; (b) 13; (c) 45; (d) 32