Fill in the blanks.
2 boys, Bryan and Adam, have some stickers.
The ratio of Bryan's to Adam's stickers is 8 : 7.
Bryan gives 44 to Adam.
The ratio of Bryan's to Adam's stickers becomes 1 : 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 |
8 x 2 = 16 u |
7 x 2 = 14 u |
15 x 2 = 30 u |
Change |
- 44 |
+ 44 |
|
After |
1 x 5 = 5 u |
5 x 5 = 25 u |
6 x 5 = 30 u |
(a)
Change ratio into units.
There is an internal transfer of 44 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 15 and 6 is 30.
Number of stickers that Bryan gives to Adam
= 16 u - 5 u
= 11 u
Number of stickers that Adam has at first = 14 u
(b)
Number of stickers that Adam has in the end = 25 u
Change in the number of stickers that Adam has
= 25 u - 14 u
= 11 u
(c)
Number of stickers that Bryan has at first = 16 u
(d)
Number of stickers that Bryan has in the end = 5 u
Answer(s): (a) 14; (b) 11; (c) 16; (d) 5