Fill in the blanks.
2 boys, Bryan and Adam, have some stickers.
The ratio of Bryan's to Adam's stickers is 6 : 5.
Bryan gives 120 to Adam.
The ratio of Bryan's to Adam's stickers becomes 3 : 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 |
6 x 8 = 48 u |
5 x 8 = 40 u |
11 x 8 = 88 u |
Change |
- 120 |
+ 120 |
|
After |
3 x 11 = 33 u |
5 x 11 = 55 u |
8 x 11 = 88 u |
(a)
Change ratio into units.
There is an internal transfer of 120 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 11 and 8 is 88.
Number of stickers that Bryan gives to Adam
= 48 u - 33 u
= 15 u
Number of stickers that Adam has at first = 40 u
(b)
Number of stickers that Adam has in the end = 55 u
Change in the number of stickers that Adam has
= 55 u - 40 u
= 15 u
(c)
Number of stickers that Bryan has at first = 48 u
(d)
Number of stickers that Bryan has in the end = 33 u
Answer(s): (a) 40; (b) 15; (c) 48; (d) 33