Fill in the blanks.
2 boys, Bryan and Adam, have some stickers.
The ratio of Bryan's to Adam's stickers is 3 : 2.
Bryan gives 144 to Adam.
The ratio of Bryan's to Adam's stickers becomes 7 : 10.
- 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 |
3 x 17 = 51 u |
2 x 17 = 34 u |
5 x 17 = 85 u |
Change |
- 144 |
+ 144 |
|
After |
7 x 5 = 35 u |
10 x 5 = 50 u |
17 x 5 = 85 u |
(a)
Change ratio into units.
There is an internal transfer of 144 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 5 and 17 is 85.
Number of stickers that Bryan gives to Adam
= 51 u - 35 u
= 16 u
Number of stickers that Adam has at first = 34 u
(b)
Number of stickers that Adam has in the end = 50 u
Change in the number of stickers that Adam has
= 50 u - 34 u
= 16 u
(c)
Number of stickers that Bryan has at first = 51 u
(d)
Number of stickers that Bryan has in the end = 35 u
Answer(s): (a) 34; (b) 16; (c) 51; (d) 35