Fill in the blanks.
2 boys, Bryan and Adam, have some stickers.
The ratio of Bryan's to Adam's stickers is 7 : 4.
Bryan gives 405 to Adam.
The ratio of Bryan's to Adam's stickers becomes 1 : 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 8 = 56 u |
4 x 8 = 32 u |
11 x 8 = 88 u |
Change |
- 405 |
+ 405 |
|
After |
1 x 11 = 11 u |
7 x 11 = 77 u |
8 x 11 = 88 u |
(a)
Change ratio into units.
There is an internal transfer of 405 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 11 and 8 is 88.
Number of stickers that Bryan gives to Adam
= 56 u - 11 u
= 45 u
Number of stickers that Adam has at first = 32 u
(b)
Number of stickers that Adam has in the end = 77 u
Change in the number of stickers that Adam has
= 77 u - 32 u
= 45 u
(c)
Number of stickers that Bryan has at first = 56 u
(d)
Number of stickers that Bryan has in the end = 11 u
Answer(s): (a) 32; (b) 45; (c) 56; (d) 11