Fill in the blanks.
2 boys, Bryan and Adam, have some stickers.
The ratio of Bryan's to Adam's stickers is 7 : 6.
Bryan gives 45 to Adam.
The ratio of Bryan's to Adam's stickers becomes 2 : 3.
- 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 5 = 35 u |
6 x 5 = 30 u |
13 x 5 = 65 u |
Change |
- 45 |
+ 45 |
|
After |
2 x 13 = 26 u |
3 x 13 = 39 u |
5 x 13 = 65 u |
(a)
Change ratio into units.
There is an internal transfer of 45 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 13 and 5 is 65.
Number of stickers that Bryan gives to Adam
= 35 u - 26 u
= 9 u
Number of stickers that Adam has at first = 30 u
(b)
Number of stickers that Adam has in the end = 39 u
Change in the number of stickers that Adam has
= 39 u - 30 u
= 9 u
(c)
Number of stickers that Bryan has at first = 35 u
(d)
Number of stickers that Bryan has in the end = 26 u
Answer(s): (a) 30; (b) 9; (c) 35; (d) 26