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 212 to Adam.
The ratio of Bryan's to Adam's stickers becomes 5 : 9.
- 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 14 = 98 u |
2 x 14 = 28 u |
9 x 14 = 126 u |
Change |
- 212 |
+ 212 |
|
After |
5 x 9 = 45 u |
9 x 9 = 81 u |
14 x 9 = 126 u |
(a)
Change ratio into units.
There is an internal transfer of 212 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 9 and 14 is 126.
Number of stickers that Bryan gives to Adam
= 98 u - 45 u
= 53 u
Number of stickers that Adam has at first = 28 u
(b)
Number of stickers that Adam has in the end = 81 u
Change in the number of stickers that Adam has
= 81 u - 28 u
= 53 u
(c)
Number of stickers that Bryan has at first = 98 u
(d)
Number of stickers that Bryan has in the end = 45 u
Answer(s): (a) 28; (b) 53; (c) 98; (d) 45