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 70 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 |
5 x 2 = 10 u |
4 x 2 = 8 u |
9 x 2 = 18 u |
Change |
- 70 |
+ 70 |
|
After |
1 x 3 = 3 u |
5 x 3 = 15 u |
6 x 3 = 18 u |
(a)
Change ratio into units.
There is an internal transfer of 70 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 9 and 6 is 18.
Number of stickers that Bryan gives to Adam
= 10 u - 3 u
= 7 u
Number of stickers that Adam has at first = 8 u
(b)
Number of stickers that Adam has in the end = 15 u
Change in the number of stickers that Adam has
= 15 u - 8 u
= 7 u
(c)
Number of stickers that Bryan has at first = 10 u
(d)
Number of stickers that Bryan has in the end = 3 u
Answer(s): (a) 8; (b) 7; (c) 10; (d) 3