Fill in the blanks.
2 boys, Bryan and Adam, have some stickers.
The ratio of Bryan's to Adam's stickers is 10 : 3.
Bryan gives 82 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 |
10 x 8 = 80 u |
3 x 8 = 24 u |
13 x 8 = 104 u |
Change |
- 82 |
+ 82 |
|
After |
3 x 13 = 39 u |
5 x 13 = 65 u |
8 x 13 = 104 u |
(a)
Change ratio into units.
There is an internal transfer of 82 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 13 and 8 is 104.
Number of stickers that Bryan gives to Adam
= 80 u - 39 u
= 41 u
Number of stickers that Adam has at first = 24 u
(b)
Number of stickers that Adam has in the end = 65 u
Change in the number of stickers that Adam has
= 65 u - 24 u
= 41 u
(c)
Number of stickers that Bryan has at first = 80 u
(d)
Number of stickers that Bryan has in the end = 39 u
Answer(s): (a) 24; (b) 41; (c) 80; (d) 39