Fill in the blanks.
2 boys, Bryan and Adam, have some stickers.
The ratio of Bryan's to Adam's stickers is 5 : 4.
Bryan gives 24 to Adam.
The ratio of Bryan's to Adam's stickers becomes 7 : 8.
- 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 5 = 25 u |
4 x 5 = 20 u |
9 x 5 = 45 u |
Change |
- 24 |
+ 24 |
|
After |
7 x 3 = 21 u |
8 x 3 = 24 u |
15 x 3 = 45 u |
(a)
Change ratio into units.
There is an internal transfer of 24 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 9 and 15 is 45.
Number of stickers that Bryan gives to Adam
= 25 u - 21 u
= 4 u
Number of stickers that Adam has at first = 20 u
(b)
Number of stickers that Adam has in the end = 24 u
Change in the number of stickers that Adam has
= 24 u - 20 u
= 4 u
(c)
Number of stickers that Bryan has at first = 25 u
(d)
Number of stickers that Bryan has in the end = 21 u
Answer(s): (a) 20; (b) 4; (c) 25; (d) 21