Fill in the blanks.
2 boys, Bryan and Adam, have some stickers.
The ratio of Bryan's to Adam's stickers is 7 : 1.
Bryan gives 57 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 |
1 x 5 = 5 u |
8 x 5 = 40 u |
Change |
- 57 |
+ 57 |
|
After |
2 x 8 = 16 u |
3 x 8 = 24 u |
5 x 8 = 40 u |
(a)
Change ratio into units.
There is an internal transfer of 57 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 8 and 5 is 40.
Number of stickers that Bryan gives to Adam
= 35 u - 16 u
= 19 u
Number of stickers that Adam has at first = 5 u
(b)
Number of stickers that Adam has in the end = 24 u
Change in the number of stickers that Adam has
= 24 u - 5 u
= 19 u
(c)
Number of stickers that Bryan has at first = 35 u
(d)
Number of stickers that Bryan has in the end = 16 u
Answer(s): (a) 5; (b) 19; (c) 35; (d) 16