Fill in the blanks.
2 boys, Bryan and Adam, have some stickers.
The ratio of Bryan's to Adam's stickers is 2 : 1.
Bryan gives 55 to Adam.
The ratio of Bryan's to Adam's stickers becomes 5 : 8.
- 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 |
2 x 13 = 26 u |
1 x 13 = 13 u |
3 x 13 = 39 u |
Change |
- 55 |
+ 55 |
|
After |
5 x 3 = 15 u |
8 x 3 = 24 u |
13 x 3 = 39 u |
(a)
Change ratio into units.
There is an internal transfer of 55 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 3 and 13 is 39.
Number of stickers that Bryan gives to Adam
= 26 u - 15 u
= 11 u
Number of stickers that Adam has at first = 13 u
(b)
Number of stickers that Adam has in the end = 24 u
Change in the number of stickers that Adam has
= 24 u - 13 u
= 11 u
(c)
Number of stickers that Bryan has at first = 26 u
(d)
Number of stickers that Bryan has in the end = 15 u
Answer(s): (a) 13; (b) 11; (c) 26; (d) 15