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 170 to Adam.
The ratio of Bryan's to Adam's stickers becomes 1 : 4.
- 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 |
3 x 5 = 15 u |
8 x 5 = 40 u |
Change |
- 170 |
+ 170 |
|
After |
1 x 8 = 8 u |
4 x 8 = 32 u |
5 x 8 = 40 u |
(a)
Change ratio into units.
There is an internal transfer of 170 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 8 and 5 is 40.
Number of stickers that Bryan gives to Adam
= 25 u - 8 u
= 17 u
Number of stickers that Adam has at first = 15 u
(b)
Number of stickers that Adam has in the end = 32 u
Change in the number of stickers that Adam has
= 32 u - 15 u
= 17 u
(c)
Number of stickers that Bryan has at first = 25 u
(d)
Number of stickers that Bryan has in the end = 8 u
Answer(s): (a) 15; (b) 17; (c) 25; (d) 8