Fill in the blanks.
2 boys, Bryan and Adam, have some stickers.
The ratio of Bryan's to Adam's stickers is 10 : 1.
Bryan gives 333 to Adam.
The ratio of Bryan's to Adam's stickers becomes 3 : 4.
- 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 |
10 x 7 = 70 u |
1 x 7 = 7 u |
11 x 7 = 77 u |
Change |
- 333 |
+ 333 |
|
After |
3 x 11 = 33 u |
4 x 11 = 44 u |
7 x 11 = 77 u |
(a)
Change ratio into units.
There is an internal transfer of 333 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 11 and 7 is 77.
Number of stickers that Bryan gives to Adam
= 70 u - 33 u
= 37 u
Number of stickers that Adam has at first = 7 u
(b)
Number of stickers that Adam has in the end = 44 u
Change in the number of stickers that Adam has
= 44 u - 7 u
= 37 u
(c)
Number of stickers that Bryan has at first = 70 u
(d)
Number of stickers that Bryan has in the end = 33 u
Answer(s): (a) 7; (b) 37; (c) 70; (d) 33