Fill in the blanks.
2 boys, Bryan and Adam, have some stickers.
The ratio of Bryan's to Adam's stickers is 3 : 1.
Bryan gives 88 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 |
3 x 5 = 15 u |
1 x 5 = 5 u |
4 x 5 = 20 u |
Change |
- 88 |
+ 88 |
|
After |
1 x 4 = 4 u |
4 x 4 = 16 u |
5 x 4 = 20 u |
(a)
Change ratio into units.
There is an internal transfer of 88 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 4 and 5 is 20.
Number of stickers that Bryan gives to Adam
= 15 u - 4 u
= 11 u
Number of stickers that Adam has at first = 5 u
(b)
Number of stickers that Adam has in the end = 16 u
Change in the number of stickers that Adam has
= 16 u - 5 u
= 11 u
(c)
Number of stickers that Bryan has at first = 15 u
(d)
Number of stickers that Bryan has in the end = 4 u
Answer(s): (a) 5; (b) 11; (c) 15; (d) 4