Fill in the blanks.
2 boys, Bryan and Adam, have some stickers.
The ratio of Bryan's to Adam's stickers is 7 : 2.
Bryan gives 410 to Adam.
The ratio of Bryan's to Adam's stickers becomes 4 : 7.
- 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 |
7 x 11 = 77 u |
2 x 11 = 22 u |
9 x 11 = 99 u |
Change |
- 410 |
+ 410 |
|
After |
4 x 9 = 36 u |
7 x 9 = 63 u |
11 x 9 = 99 u |
(a)
Change ratio into units.
There is an internal transfer of 410 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 9 and 11 is 99.
Number of stickers that Bryan gives to Adam
= 77 u - 36 u
= 41 u
Number of stickers that Adam has at first = 22 u
(b)
Number of stickers that Adam has in the end = 63 u
Change in the number of stickers that Adam has
= 63 u - 22 u
= 41 u
(c)
Number of stickers that Bryan has at first = 77 u
(d)
Number of stickers that Bryan has in the end = 36 u
Answer(s): (a) 22; (b) 41; (c) 77; (d) 36