Fill in the blanks.
2 boys, Bryan and Adam, have some stickers.
The ratio of Bryan's to Adam's stickers is 4 : 3.
Bryan gives 99 to Adam.
The ratio of Bryan's to Adam's stickers becomes 1 : 9.
- 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 |
4 x 10 = 40 u |
3 x 10 = 30 u |
7 x 10 = 70 u |
Change |
- 99 |
+ 99 |
|
After |
1 x 7 = 7 u |
9 x 7 = 63 u |
10 x 7 = 70 u |
(a)
Change ratio into units.
There is an internal transfer of 99 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 7 and 10 is 70.
Number of stickers that Bryan gives to Adam
= 40 u - 7 u
= 33 u
Number of stickers that Adam has at first = 30 u
(b)
Number of stickers that Adam has in the end = 63 u
Change in the number of stickers that Adam has
= 63 u - 30 u
= 33 u
(c)
Number of stickers that Bryan has at first = 40 u
(d)
Number of stickers that Bryan has in the end = 7 u
Answer(s): (a) 30; (b) 33; (c) 40; (d) 7